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Finding the Third Proportional to 666,987.75 and 1,031,707.13

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Solution

The third proportional to 666,987.75 and 1,031,707.13 is: 1,595,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,987.75 : 1,031,707.13 = 1,031,707.13 : x
  2. Step 2: Convert to fraction form
    666,987.75/1,031,707.13 = 1,031,707.13/x
  3. Step 3: Cross multiply
    666,987.75x = 1,031,707.13 × 1,031,707.13
  4. Step 4: Simplify right side
    666,987.75x = 1,064,419,591,775.77
  5. Step 5: Solve for x
    x = 1,064,419,591,775.77/666,987.75
  6. Step 6: Final answer
    x = 1,595,860.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.