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Finding the Third Proportional to 564,055 and 1,231,006

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Solution

The third proportional to 564,055 and 1,231,006 is: 2,686,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,055 : 1,231,006 = 1,231,006 : x
  2. Step 2: Convert to fraction form
    564,055/1,231,006 = 1,231,006/x
  3. Step 3: Cross multiply
    564,055x = 1,231,006 × 1,231,006
  4. Step 4: Simplify right side
    564,055x = 1,515,375,772,036
  5. Step 5: Solve for x
    x = 1,515,375,772,036/564,055
  6. Step 6: Final answer
    x = 2,686,574.49

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