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Finding the Third Proportional to 425,379 and 928,032

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Solution

The third proportional to 425,379 and 928,032 is: 2,024,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,379 : 928,032 = 928,032 : x
  2. Step 2: Convert to fraction form
    425,379/928,032 = 928,032/x
  3. Step 3: Cross multiply
    425,379x = 928,032 × 928,032
  4. Step 4: Simplify right side
    425,379x = 861,243,393,024
  5. Step 5: Solve for x
    x = 861,243,393,024/425,379
  6. Step 6: Final answer
    x = 2,024,649.53

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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.