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Finding the Third Proportional to 671,505 and 1,442,400

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Solution

The third proportional to 671,505 and 1,442,400 is: 3,098,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,505 : 1,442,400 = 1,442,400 : x
  2. Step 2: Convert to fraction form
    671,505/1,442,400 = 1,442,400/x
  3. Step 3: Cross multiply
    671,505x = 1,442,400 × 1,442,400
  4. Step 4: Simplify right side
    671,505x = 2,080,517,760,000
  5. Step 5: Solve for x
    x = 2,080,517,760,000/671,505
  6. Step 6: Final answer
    x = 3,098,290.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.