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Finding the Third Proportional to 415,426 and 903,751

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Solution

The third proportional to 415,426 and 903,751 is: 1,966,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,426 : 903,751 = 903,751 : x
  2. Step 2: Convert to fraction form
    415,426/903,751 = 903,751/x
  3. Step 3: Cross multiply
    415,426x = 903,751 × 903,751
  4. Step 4: Simplify right side
    415,426x = 816,765,870,001
  5. Step 5: Solve for x
    x = 816,765,870,001/415,426
  6. Step 6: Final answer
    x = 1,966,092.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.