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Finding the Third Proportional to 447,759 and 921,797

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Solution

The third proportional to 447,759 and 921,797 is: 1,897,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,759 : 921,797 = 921,797 : x
  2. Step 2: Convert to fraction form
    447,759/921,797 = 921,797/x
  3. Step 3: Cross multiply
    447,759x = 921,797 × 921,797
  4. Step 4: Simplify right side
    447,759x = 849,709,709,209
  5. Step 5: Solve for x
    x = 849,709,709,209/447,759
  6. Step 6: Final answer
    x = 1,897,694.32

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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.