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Finding the Third Proportional to 872,074 and 1,870,236

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Solution

The third proportional to 872,074 and 1,870,236 is: 4,010,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,074 : 1,870,236 = 1,870,236 : x
  2. Step 2: Convert to fraction form
    872,074/1,870,236 = 1,870,236/x
  3. Step 3: Cross multiply
    872,074x = 1,870,236 × 1,870,236
  4. Step 4: Simplify right side
    872,074x = 3,497,782,695,696
  5. Step 5: Solve for x
    x = 3,497,782,695,696/872,074
  6. Step 6: Final answer
    x = 4,010,878.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.