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Finding the Third Proportional to 415,782 and 897,948

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Solution

The third proportional to 415,782 and 897,948 is: 1,939,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,782 : 897,948 = 897,948 : x
  2. Step 2: Convert to fraction form
    415,782/897,948 = 897,948/x
  3. Step 3: Cross multiply
    415,782x = 897,948 × 897,948
  4. Step 4: Simplify right side
    415,782x = 806,310,610,704
  5. Step 5: Solve for x
    x = 806,310,610,704/415,782
  6. Step 6: Final answer
    x = 1,939,262.91

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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.