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Finding the Third Proportional to 674,233.88 and 1,472,716.69

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Solution

The third proportional to 674,233.88 and 1,472,716.69 is: 3,216,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,233.88 : 1,472,716.69 = 1,472,716.69 : x
  2. Step 2: Convert to fraction form
    674,233.88/1,472,716.69 = 1,472,716.69/x
  3. Step 3: Cross multiply
    674,233.88x = 1,472,716.69 × 1,472,716.69
  4. Step 4: Simplify right side
    674,233.88x = 2,168,894,441,640.97
  5. Step 5: Solve for x
    x = 2,168,894,441,640.97/674,233.88
  6. Step 6: Final answer
    x = 3,216,828.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.