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Finding the Third Proportional to 1,253,109 and 2,017,689

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Solution

The third proportional to 1,253,109 and 2,017,689 is: 3,248,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,109 : 2,017,689 = 2,017,689 : x
  2. Step 2: Convert to fraction form
    1,253,109/2,017,689 = 2,017,689/x
  3. Step 3: Cross multiply
    1,253,109x = 2,017,689 × 2,017,689
  4. Step 4: Simplify right side
    1,253,109x = 4,071,068,900,721
  5. Step 5: Solve for x
    x = 4,071,068,900,721/1,253,109
  6. Step 6: Final answer
    x = 3,248,774.77

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.