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Finding the Third Proportional to 415,092 and 865,587

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Solution

The third proportional to 415,092 and 865,587 is: 1,804,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,092 : 865,587 = 865,587 : x
  2. Step 2: Convert to fraction form
    415,092/865,587 = 865,587/x
  3. Step 3: Cross multiply
    415,092x = 865,587 × 865,587
  4. Step 4: Simplify right side
    415,092x = 749,240,854,569
  5. Step 5: Solve for x
    x = 749,240,854,569/415,092
  6. Step 6: Final answer
    x = 1,804,999.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.