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Finding the Third Proportional to 415,702 and 895,516

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Solution

The third proportional to 415,702 and 895,516 is: 1,929,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,702 : 895,516 = 895,516 : x
  2. Step 2: Convert to fraction form
    415,702/895,516 = 895,516/x
  3. Step 3: Cross multiply
    415,702x = 895,516 × 895,516
  4. Step 4: Simplify right side
    415,702x = 801,948,906,256
  5. Step 5: Solve for x
    x = 801,948,906,256/415,702
  6. Step 6: Final answer
    x = 1,929,143.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.