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Finding the Third Proportional to 1,024,949 and 1,592,463

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Solution

The third proportional to 1,024,949 and 1,592,463 is: 2,474,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,949 : 1,592,463 = 1,592,463 : x
  2. Step 2: Convert to fraction form
    1,024,949/1,592,463 = 1,592,463/x
  3. Step 3: Cross multiply
    1,024,949x = 1,592,463 × 1,592,463
  4. Step 4: Simplify right side
    1,024,949x = 2,535,938,406,369
  5. Step 5: Solve for x
    x = 2,535,938,406,369/1,024,949
  6. Step 6: Final answer
    x = 2,474,209.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.