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Finding the Third Proportional to 1,609,740 and 2,178,414

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Solution

The third proportional to 1,609,740 and 2,178,414 is: 2,947,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,740 : 2,178,414 = 2,178,414 : x
  2. Step 2: Convert to fraction form
    1,609,740/2,178,414 = 2,178,414/x
  3. Step 3: Cross multiply
    1,609,740x = 2,178,414 × 2,178,414
  4. Step 4: Simplify right side
    1,609,740x = 4,745,487,555,396
  5. Step 5: Solve for x
    x = 4,745,487,555,396/1,609,740
  6. Step 6: Final answer
    x = 2,947,983.87

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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.