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Finding the Third Proportional to 425,367 and 928,002

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Solution

The third proportional to 425,367 and 928,002 is: 2,024,575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,367 : 928,002 = 928,002 : x
  2. Step 2: Convert to fraction form
    425,367/928,002 = 928,002/x
  3. Step 3: Cross multiply
    425,367x = 928,002 × 928,002
  4. Step 4: Simplify right side
    425,367x = 861,187,712,004
  5. Step 5: Solve for x
    x = 861,187,712,004/425,367
  6. Step 6: Final answer
    x = 2,024,575.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.