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Finding the Third Proportional to 948,732.75 and 2,082,046.78

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Solution

The third proportional to 948,732.75 and 2,082,046.78 is: 4,569,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,732.75 : 2,082,046.78 = 2,082,046.78 : x
  2. Step 2: Convert to fraction form
    948,732.75/2,082,046.78 = 2,082,046.78/x
  3. Step 3: Cross multiply
    948,732.75x = 2,082,046.78 × 2,082,046.78
  4. Step 4: Simplify right side
    948,732.75x = 4,334,918,799,313.49
  5. Step 5: Solve for x
    x = 4,334,918,799,313.49/948,732.75
  6. Step 6: Final answer
    x = 4,569,167.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.