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Finding the Third Proportional to 714,586.50 and 1,532,782

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Solution

The third proportional to 714,586.50 and 1,532,782 is: 3,287,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,586.50 : 1,532,782 = 1,532,782 : x
  2. Step 2: Convert to fraction form
    714,586.50/1,532,782 = 1,532,782/x
  3. Step 3: Cross multiply
    714,586.50x = 1,532,782 × 1,532,782
  4. Step 4: Simplify right side
    714,586.50x = 2,349,420,659,524
  5. Step 5: Solve for x
    x = 2,349,420,659,524/714,586.50
  6. Step 6: Final answer
    x = 3,287,804.43

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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.