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Finding the Third Proportional to 646,266 and 1,380,500

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Solution

The third proportional to 646,266 and 1,380,500 is: 2,948,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,266 : 1,380,500 = 1,380,500 : x
  2. Step 2: Convert to fraction form
    646,266/1,380,500 = 1,380,500/x
  3. Step 3: Cross multiply
    646,266x = 1,380,500 × 1,380,500
  4. Step 4: Simplify right side
    646,266x = 1,905,780,250,000
  5. Step 5: Solve for x
    x = 1,905,780,250,000/646,266
  6. Step 6: Final answer
    x = 2,948,909.97

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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.