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Finding the Third Proportional to 1,609,915 and 2,178,677

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Solution

The third proportional to 1,609,915 and 2,178,677 is: 2,948,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,915 : 2,178,677 = 2,178,677 : x
  2. Step 2: Convert to fraction form
    1,609,915/2,178,677 = 2,178,677/x
  3. Step 3: Cross multiply
    1,609,915x = 2,178,677 × 2,178,677
  4. Step 4: Simplify right side
    1,609,915x = 4,746,633,470,329
  5. Step 5: Solve for x
    x = 4,746,633,470,329/1,609,915
  6. Step 6: Final answer
    x = 2,948,375.21

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.