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Finding the Third Proportional to 458,509.78 and 1,005,592.97

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Solution

The third proportional to 458,509.78 and 1,005,592.97 is: 2,205,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,509.78 : 1,005,592.97 = 1,005,592.97 : x
  2. Step 2: Convert to fraction form
    458,509.78/1,005,592.97 = 1,005,592.97/x
  3. Step 3: Cross multiply
    458,509.78x = 1,005,592.97 × 1,005,592.97
  4. Step 4: Simplify right side
    458,509.78x = 1,011,217,218,799.44
  5. Step 5: Solve for x
    x = 1,011,217,218,799.44/458,509.78
  6. Step 6: Final answer
    x = 2,205,443.07

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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.