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Finding the Third Proportional to 514,452 and 1,107,919

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Solution

The third proportional to 514,452 and 1,107,919 is: 2,386,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,452 : 1,107,919 = 1,107,919 : x
  2. Step 2: Convert to fraction form
    514,452/1,107,919 = 1,107,919/x
  3. Step 3: Cross multiply
    514,452x = 1,107,919 × 1,107,919
  4. Step 4: Simplify right side
    514,452x = 1,227,484,510,561
  5. Step 5: Solve for x
    x = 1,227,484,510,561/514,452
  6. Step 6: Final answer
    x = 2,386,003.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.