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Finding the Third Proportional to 564,072.75 and 1,231,038

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Solution

The third proportional to 564,072.75 and 1,231,038 is: 2,686,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,072.75 : 1,231,038 = 1,231,038 : x
  2. Step 2: Convert to fraction form
    564,072.75/1,231,038 = 1,231,038/x
  3. Step 3: Cross multiply
    564,072.75x = 1,231,038 × 1,231,038
  4. Step 4: Simplify right side
    564,072.75x = 1,515,454,557,444
  5. Step 5: Solve for x
    x = 1,515,454,557,444/564,072.75
  6. Step 6: Final answer
    x = 2,686,629.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.