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Finding the Third Proportional to 870,860,301,519 and 1,210,861,640,169

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Solution

The third proportional to 870,860,301,519 and 1,210,861,640,169 is: 1,683,606,324,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,860,301,519 : 1,210,861,640,169 = 1,210,861,640,169 : x
  2. Step 2: Convert to fraction form
    870,860,301,519/1,210,861,640,169 = 1,210,861,640,169/x
  3. Step 3: Cross multiply
    870,860,301,519x = 1,210,861,640,169 × 1,210,861,640,169
  4. Step 4: Simplify right side
    870,860,301,519x = 1,466,185,911,632,760,789,794,816
  5. Step 5: Solve for x
    x = 1,466,185,911,632,760,789,794,816/870,860,301,519
  6. Step 6: Final answer
    x = 1,683,606,324,774.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.