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Finding the Third Proportional to 706,294.69 and 1,532,993.98

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Solution

The third proportional to 706,294.69 and 1,532,993.98 is: 3,327,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,294.69 : 1,532,993.98 = 1,532,993.98 : x
  2. Step 2: Convert to fraction form
    706,294.69/1,532,993.98 = 1,532,993.98/x
  3. Step 3: Cross multiply
    706,294.69x = 1,532,993.98 × 1,532,993.98
  4. Step 4: Simplify right side
    706,294.69x = 2,350,070,532,176.91
  5. Step 5: Solve for x
    x = 2,350,070,532,176.91/706,294.69
  6. Step 6: Final answer
    x = 3,327,322.96

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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.