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Finding the Third Proportional to 712,669.50 and 1,536,734

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Solution

The third proportional to 712,669.50 and 1,536,734 is: 3,313,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,669.50 : 1,536,734 = 1,536,734 : x
  2. Step 2: Convert to fraction form
    712,669.50/1,536,734 = 1,536,734/x
  3. Step 3: Cross multiply
    712,669.50x = 1,536,734 × 1,536,734
  4. Step 4: Simplify right side
    712,669.50x = 2,361,551,386,756
  5. Step 5: Solve for x
    x = 2,361,551,386,756/712,669.50
  6. Step 6: Final answer
    x = 3,313,669.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.