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Finding the Third Proportional to 595,069 and 906,542

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Solution

The third proportional to 595,069 and 906,542 is: 1,381,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,069 : 906,542 = 906,542 : x
  2. Step 2: Convert to fraction form
    595,069/906,542 = 906,542/x
  3. Step 3: Cross multiply
    595,069x = 906,542 × 906,542
  4. Step 4: Simplify right side
    595,069x = 821,818,397,764
  5. Step 5: Solve for x
    x = 821,818,397,764/595,069
  6. Step 6: Final answer
    x = 1,381,047.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.