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Finding the Third Proportional to 415,942 and 851,552

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Solution

The third proportional to 415,942 and 851,552 is: 1,743,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,942 : 851,552 = 851,552 : x
  2. Step 2: Convert to fraction form
    415,942/851,552 = 851,552/x
  3. Step 3: Cross multiply
    415,942x = 851,552 × 851,552
  4. Step 4: Simplify right side
    415,942x = 725,140,808,704
  5. Step 5: Solve for x
    x = 725,140,808,704/415,942
  6. Step 6: Final answer
    x = 1,743,370.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.