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Finding the Third Proportional to 438,372 and 944,472

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Solution

The third proportional to 438,372 and 944,472 is: 2,034,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,372 : 944,472 = 944,472 : x
  2. Step 2: Convert to fraction form
    438,372/944,472 = 944,472/x
  3. Step 3: Cross multiply
    438,372x = 944,472 × 944,472
  4. Step 4: Simplify right side
    438,372x = 892,027,358,784
  5. Step 5: Solve for x
    x = 892,027,358,784/438,372
  6. Step 6: Final answer
    x = 2,034,863.90

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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.