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Finding the Third Proportional to 564,145 and 1,231,170

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Solution

The third proportional to 564,145 and 1,231,170 is: 2,686,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,145 : 1,231,170 = 1,231,170 : x
  2. Step 2: Convert to fraction form
    564,145/1,231,170 = 1,231,170/x
  3. Step 3: Cross multiply
    564,145x = 1,231,170 × 1,231,170
  4. Step 4: Simplify right side
    564,145x = 1,515,779,568,900
  5. Step 5: Solve for x
    x = 1,515,779,568,900/564,145
  6. Step 6: Final answer
    x = 2,686,861.66

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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.