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Finding the Third Proportional to 561,257 and 1,231,167

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Solution

The third proportional to 561,257 and 1,231,167 is: 2,700,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,257 : 1,231,167 = 1,231,167 : x
  2. Step 2: Convert to fraction form
    561,257/1,231,167 = 1,231,167/x
  3. Step 3: Cross multiply
    561,257x = 1,231,167 × 1,231,167
  4. Step 4: Simplify right side
    561,257x = 1,515,772,181,889
  5. Step 5: Solve for x
    x = 1,515,772,181,889/561,257
  6. Step 6: Final answer
    x = 2,700,673.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.