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Finding the Third Proportional to 415,432 and 903,764

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Solution

The third proportional to 415,432 and 903,764 is: 1,966,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,432 : 903,764 = 903,764 : x
  2. Step 2: Convert to fraction form
    415,432/903,764 = 903,764/x
  3. Step 3: Cross multiply
    415,432x = 903,764 × 903,764
  4. Step 4: Simplify right side
    415,432x = 816,789,367,696
  5. Step 5: Solve for x
    x = 816,789,367,696/415,432
  6. Step 6: Final answer
    x = 1,966,120.49

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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.