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Finding the Third Proportional to 729,455.63 and 1,571,268.38

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Solution

The third proportional to 729,455.63 and 1,571,268.38 is: 3,384,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,455.63 : 1,571,268.38 = 1,571,268.38 : x
  2. Step 2: Convert to fraction form
    729,455.63/1,571,268.38 = 1,571,268.38/x
  3. Step 3: Cross multiply
    729,455.63x = 1,571,268.38 × 1,571,268.38
  4. Step 4: Simplify right side
    729,455.63x = 2,468,884,306,275.14
  5. Step 5: Solve for x
    x = 2,468,884,306,275.14/729,455.63
  6. Step 6: Final answer
    x = 3,384,557.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.