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Finding the Third Proportional to 532,041.75 and 1,182,161.25

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Solution

The third proportional to 532,041.75 and 1,182,161.25 is: 2,626,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,041.75 : 1,182,161.25 = 1,182,161.25 : x
  2. Step 2: Convert to fraction form
    532,041.75/1,182,161.25 = 1,182,161.25/x
  3. Step 3: Cross multiply
    532,041.75x = 1,182,161.25 × 1,182,161.25
  4. Step 4: Simplify right side
    532,041.75x = 1,397,505,221,001.56
  5. Step 5: Solve for x
    x = 1,397,505,221,001.56/532,041.75
  6. Step 6: Final answer
    x = 2,626,683.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.