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Finding the Third Proportional to 387,507 and 851,397

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Solution

The third proportional to 387,507 and 851,397 is: 1,870,616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,507 : 851,397 = 851,397 : x
  2. Step 2: Convert to fraction form
    387,507/851,397 = 851,397/x
  3. Step 3: Cross multiply
    387,507x = 851,397 × 851,397
  4. Step 4: Simplify right side
    387,507x = 724,876,851,609
  5. Step 5: Solve for x
    x = 724,876,851,609/387,507
  6. Step 6: Final answer
    x = 1,870,616.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.