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Finding the Third Proportional to 1,012,464 and 2,138,766

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Solution

The third proportional to 1,012,464 and 2,138,766 is: 4,518,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,464 : 2,138,766 = 2,138,766 : x
  2. Step 2: Convert to fraction form
    1,012,464/2,138,766 = 2,138,766/x
  3. Step 3: Cross multiply
    1,012,464x = 2,138,766 × 2,138,766
  4. Step 4: Simplify right side
    1,012,464x = 4,574,320,002,756
  5. Step 5: Solve for x
    x = 4,574,320,002,756/1,012,464
  6. Step 6: Final answer
    x = 4,518,007.56

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.