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Finding the Third Proportional to 561,099 and 1,195,491

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Solution

The third proportional to 561,099 and 1,195,491 is: 2,547,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,099 : 1,195,491 = 1,195,491 : x
  2. Step 2: Convert to fraction form
    561,099/1,195,491 = 1,195,491/x
  3. Step 3: Cross multiply
    561,099x = 1,195,491 × 1,195,491
  4. Step 4: Simplify right side
    561,099x = 1,429,198,731,081
  5. Step 5: Solve for x
    x = 1,429,198,731,081/561,099
  6. Step 6: Final answer
    x = 2,547,141.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.