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Finding the Third Proportional to 517,789.13 and 1,071,525.38

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Solution

The third proportional to 517,789.13 and 1,071,525.38 is: 2,217,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,789.13 : 1,071,525.38 = 1,071,525.38 : x
  2. Step 2: Convert to fraction form
    517,789.13/1,071,525.38 = 1,071,525.38/x
  3. Step 3: Cross multiply
    517,789.13x = 1,071,525.38 × 1,071,525.38
  4. Step 4: Simplify right side
    517,789.13x = 1,148,166,629,268.89
  5. Step 5: Solve for x
    x = 1,148,166,629,268.89/517,789.13
  6. Step 6: Final answer
    x = 2,217,440.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.