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Finding the Third Proportional to 574,968.38 and 1,265,574.38

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Solution

The third proportional to 574,968.38 and 1,265,574.38 is: 2,785,681.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,968.38 : 1,265,574.38 = 1,265,574.38 : x
  2. Step 2: Convert to fraction form
    574,968.38/1,265,574.38 = 1,265,574.38/x
  3. Step 3: Cross multiply
    574,968.38x = 1,265,574.38 × 1,265,574.38
  4. Step 4: Simplify right side
    574,968.38x = 1,601,678,498,656.64
  5. Step 5: Solve for x
    x = 1,601,678,498,656.64/574,968.38
  6. Step 6: Final answer
    x = 2,785,681.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.