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Finding the Third Proportional to 561,830 and 1,238,182

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Solution

The third proportional to 561,830 and 1,238,182 is: 2,728,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,830 : 1,238,182 = 1,238,182 : x
  2. Step 2: Convert to fraction form
    561,830/1,238,182 = 1,238,182/x
  3. Step 3: Cross multiply
    561,830x = 1,238,182 × 1,238,182
  4. Step 4: Simplify right side
    561,830x = 1,533,094,665,124
  5. Step 5: Solve for x
    x = 1,533,094,665,124/561,830
  6. Step 6: Final answer
    x = 2,728,751.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.