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Finding the Third Proportional to 1,002,644 and 2,165,114

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Solution

The third proportional to 1,002,644 and 2,165,114 is: 4,675,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,644 : 2,165,114 = 2,165,114 : x
  2. Step 2: Convert to fraction form
    1,002,644/2,165,114 = 2,165,114/x
  3. Step 3: Cross multiply
    1,002,644x = 2,165,114 × 2,165,114
  4. Step 4: Simplify right side
    1,002,644x = 4,687,718,632,996
  5. Step 5: Solve for x
    x = 4,687,718,632,996/1,002,644
  6. Step 6: Final answer
    x = 4,675,356.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.