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Finding the Third Proportional to 706,291.31 and 1,532,987.44

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Solution

The third proportional to 706,291.31 and 1,532,987.44 is: 3,327,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,291.31 : 1,532,987.44 = 1,532,987.44 : x
  2. Step 2: Convert to fraction form
    706,291.31/1,532,987.44 = 1,532,987.44/x
  3. Step 3: Cross multiply
    706,291.31x = 1,532,987.44 × 1,532,987.44
  4. Step 4: Simplify right side
    706,291.31x = 2,350,050,483,532.82
  5. Step 5: Solve for x
    x = 2,350,050,483,532.82/706,291.31
  6. Step 6: Final answer
    x = 3,327,310.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.