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Finding the Third Proportional to 547,862 and 1,195,380

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Solution

The third proportional to 547,862 and 1,195,380 is: 2,608,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,862 : 1,195,380 = 1,195,380 : x
  2. Step 2: Convert to fraction form
    547,862/1,195,380 = 1,195,380/x
  3. Step 3: Cross multiply
    547,862x = 1,195,380 × 1,195,380
  4. Step 4: Simplify right side
    547,862x = 1,428,933,344,400
  5. Step 5: Solve for x
    x = 1,428,933,344,400/547,862
  6. Step 6: Final answer
    x = 2,608,199.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.