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Finding the Third Proportional to 561,614 and 1,162,972

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Solution

The third proportional to 561,614 and 1,162,972 is: 2,408,244.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,614 : 1,162,972 = 1,162,972 : x
  2. Step 2: Convert to fraction form
    561,614/1,162,972 = 1,162,972/x
  3. Step 3: Cross multiply
    561,614x = 1,162,972 × 1,162,972
  4. Step 4: Simplify right side
    561,614x = 1,352,503,872,784
  5. Step 5: Solve for x
    x = 1,352,503,872,784/561,614
  6. Step 6: Final answer
    x = 2,408,244.58

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.