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Finding the Third Proportional to 415,552 and 897,560

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Solution

The third proportional to 415,552 and 897,560 is: 1,938,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,552 : 897,560 = 897,560 : x
  2. Step 2: Convert to fraction form
    415,552/897,560 = 897,560/x
  3. Step 3: Cross multiply
    415,552x = 897,560 × 897,560
  4. Step 4: Simplify right side
    415,552x = 805,613,953,600
  5. Step 5: Solve for x
    x = 805,613,953,600/415,552
  6. Step 6: Final answer
    x = 1,938,659.79

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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.