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Finding the Third Proportional to 688,614.75 and 1,048,163.63

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Solution

The third proportional to 688,614.75 and 1,048,163.63 is: 1,595,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,614.75 : 1,048,163.63 = 1,048,163.63 : x
  2. Step 2: Convert to fraction form
    688,614.75/1,048,163.63 = 1,048,163.63/x
  3. Step 3: Cross multiply
    688,614.75x = 1,048,163.63 × 1,048,163.63
  4. Step 4: Simplify right side
    688,614.75x = 1,098,646,984,773.14
  5. Step 5: Solve for x
    x = 1,098,646,984,773.14/688,614.75
  6. Step 6: Final answer
    x = 1,595,445.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.