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Finding the Third Proportional to 598,500 and 1,281,069

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Solution

The third proportional to 598,500 and 1,281,069 is: 2,742,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,500 : 1,281,069 = 1,281,069 : x
  2. Step 2: Convert to fraction form
    598,500/1,281,069 = 1,281,069/x
  3. Step 3: Cross multiply
    598,500x = 1,281,069 × 1,281,069
  4. Step 4: Simplify right side
    598,500x = 1,641,137,782,761
  5. Step 5: Solve for x
    x = 1,641,137,782,761/598,500
  6. Step 6: Final answer
    x = 2,742,084.85

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.