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Finding the Third Proportional to 564,085 and 1,231,062

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Solution

The third proportional to 564,085 and 1,231,062 is: 2,686,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,085 : 1,231,062 = 1,231,062 : x
  2. Step 2: Convert to fraction form
    564,085/1,231,062 = 1,231,062/x
  3. Step 3: Cross multiply
    564,085x = 1,231,062 × 1,231,062
  4. Step 4: Simplify right side
    564,085x = 1,515,513,647,844
  5. Step 5: Solve for x
    x = 1,515,513,647,844/564,085
  6. Step 6: Final answer
    x = 2,686,676.03

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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.