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Finding the Third Proportional to 423,962 and 921,542

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Solution

The third proportional to 423,962 and 921,542 is: 2,003,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,962 : 921,542 = 921,542 : x
  2. Step 2: Convert to fraction form
    423,962/921,542 = 921,542/x
  3. Step 3: Cross multiply
    423,962x = 921,542 × 921,542
  4. Step 4: Simplify right side
    423,962x = 849,239,657,764
  5. Step 5: Solve for x
    x = 849,239,657,764/423,962
  6. Step 6: Final answer
    x = 2,003,103.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.