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Finding the Third Proportional to 381,196.13 and 828,802.13

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Solution

The third proportional to 381,196.13 and 828,802.13 is: 1,801,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,196.13 : 828,802.13 = 828,802.13 : x
  2. Step 2: Convert to fraction form
    381,196.13/828,802.13 = 828,802.13/x
  3. Step 3: Cross multiply
    381,196.13x = 828,802.13 × 828,802.13
  4. Step 4: Simplify right side
    381,196.13x = 686,912,962,404.52
  5. Step 5: Solve for x
    x = 686,912,962,404.52/381,196.13
  6. Step 6: Final answer
    x = 1,801,993.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.