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Finding the Third Proportional to 952,200 and 1,291,747.50

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Solution

The third proportional to 952,200 and 1,291,747.50 is: 1,752,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,200 : 1,291,747.50 = 1,291,747.50 : x
  2. Step 2: Convert to fraction form
    952,200/1,291,747.50 = 1,291,747.50/x
  3. Step 3: Cross multiply
    952,200x = 1,291,747.50 × 1,291,747.50
  4. Step 4: Simplify right side
    952,200x = 1,668,611,603,756.25
  5. Step 5: Solve for x
    x = 1,668,611,603,756.25/952,200
  6. Step 6: Final answer
    x = 1,752,375.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.