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Finding the Third Proportional to 1,288,141.50 and 1,749,425.25

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Solution

The third proportional to 1,288,141.50 and 1,749,425.25 is: 2,375,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,141.50 : 1,749,425.25 = 1,749,425.25 : x
  2. Step 2: Convert to fraction form
    1,288,141.50/1,749,425.25 = 1,749,425.25/x
  3. Step 3: Cross multiply
    1,288,141.50x = 1,749,425.25 × 1,749,425.25
  4. Step 4: Simplify right side
    1,288,141.50x = 3,060,488,705,337.56
  5. Step 5: Solve for x
    x = 3,060,488,705,337.56/1,288,141.50
  6. Step 6: Final answer
    x = 2,375,894.81

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