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Finding the Third Proportional to 625,527 and 1,339,627.50

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Solution

The third proportional to 625,527 and 1,339,627.50 is: 2,868,943.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,527 : 1,339,627.50 = 1,339,627.50 : x
  2. Step 2: Convert to fraction form
    625,527/1,339,627.50 = 1,339,627.50/x
  3. Step 3: Cross multiply
    625,527x = 1,339,627.50 × 1,339,627.50
  4. Step 4: Simplify right side
    625,527x = 1,794,601,838,756.25
  5. Step 5: Solve for x
    x = 1,794,601,838,756.25/625,527
  6. Step 6: Final answer
    x = 2,868,943.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.