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Finding the Third Proportional to 870,480,594 and 1,839,210,948

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Solution

The third proportional to 870,480,594 and 1,839,210,948 is: 3,886,010,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,480,594 : 1,839,210,948 = 1,839,210,948 : x
  2. Step 2: Convert to fraction form
    870,480,594/1,839,210,948 = 1,839,210,948/x
  3. Step 3: Cross multiply
    870,480,594x = 1,839,210,948 × 1,839,210,948
  4. Step 4: Simplify right side
    870,480,594x = 3,382,696,911,243,058,688
  5. Step 5: Solve for x
    x = 3,382,696,911,243,058,688/870,480,594
  6. Step 6: Final answer
    x = 3,886,010,710.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.