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Finding the Third Proportional to 713,127.38 and 1,566,222.75

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Solution

The third proportional to 713,127.38 and 1,566,222.75 is: 3,439,853.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,127.38 : 1,566,222.75 = 1,566,222.75 : x
  2. Step 2: Convert to fraction form
    713,127.38/1,566,222.75 = 1,566,222.75/x
  3. Step 3: Cross multiply
    713,127.38x = 1,566,222.75 × 1,566,222.75
  4. Step 4: Simplify right side
    713,127.38x = 2,453,053,702,617.56
  5. Step 5: Solve for x
    x = 2,453,053,702,617.56/713,127.38
  6. Step 6: Final answer
    x = 3,439,853.51

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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.