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Finding the Third Proportional to 954,414.56 and 2,045,449.13

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Solution

The third proportional to 954,414.56 and 2,045,449.13 is: 4,383,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    954,414.56 : 2,045,449.13 = 2,045,449.13 : x
  2. Step 2: Convert to fraction form
    954,414.56/2,045,449.13 = 2,045,449.13/x
  3. Step 3: Cross multiply
    954,414.56x = 2,045,449.13 × 2,045,449.13
  4. Step 4: Simplify right side
    954,414.56x = 4,183,862,122,963.27
  5. Step 5: Solve for x
    x = 4,183,862,122,963.27/954,414.56
  6. Step 6: Final answer
    x = 4,383,694.77

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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.