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Finding the Third Proportional to 787,191.75 and 1,253,188.13

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Solution

The third proportional to 787,191.75 and 1,253,188.13 is: 1,995,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,191.75 : 1,253,188.13 = 1,253,188.13 : x
  2. Step 2: Convert to fraction form
    787,191.75/1,253,188.13 = 1,253,188.13/x
  3. Step 3: Cross multiply
    787,191.75x = 1,253,188.13 × 1,253,188.13
  4. Step 4: Simplify right side
    787,191.75x = 1,570,480,476,641.02
  5. Step 5: Solve for x
    x = 1,570,480,476,641.02/787,191.75
  6. Step 6: Final answer
    x = 1,995,041.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.