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Finding the Third Proportional to 648,229.59 and 1,400,321.34

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Solution

The third proportional to 648,229.59 and 1,400,321.34 is: 3,025,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,229.59 : 1,400,321.34 = 1,400,321.34 : x
  2. Step 2: Convert to fraction form
    648,229.59/1,400,321.34 = 1,400,321.34/x
  3. Step 3: Cross multiply
    648,229.59x = 1,400,321.34 × 1,400,321.34
  4. Step 4: Simplify right side
    648,229.59x = 1,960,899,865,761.81
  5. Step 5: Solve for x
    x = 1,960,899,865,761.81/648,229.59
  6. Step 6: Final answer
    x = 3,025,008.25

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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.