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Finding the Third Proportional to 447,687 and 921,617

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Solution

The third proportional to 447,687 and 921,617 is: 1,897,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,687 : 921,617 = 921,617 : x
  2. Step 2: Convert to fraction form
    447,687/921,617 = 921,617/x
  3. Step 3: Cross multiply
    447,687x = 921,617 × 921,617
  4. Step 4: Simplify right side
    447,687x = 849,377,894,689
  5. Step 5: Solve for x
    x = 849,377,894,689/447,687
  6. Step 6: Final answer
    x = 1,897,258.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.