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Finding the Third Proportional to 415,552 and 896,712

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Solution

The third proportional to 415,552 and 896,712 is: 1,934,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,552 : 896,712 = 896,712 : x
  2. Step 2: Convert to fraction form
    415,552/896,712 = 896,712/x
  3. Step 3: Cross multiply
    415,552x = 896,712 × 896,712
  4. Step 4: Simplify right side
    415,552x = 804,092,410,944
  5. Step 5: Solve for x
    x = 804,092,410,944/415,552
  6. Step 6: Final answer
    x = 1,934,998.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.