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Finding the Third Proportional to 811,191.38 and 1,272,459.38

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Solution

The third proportional to 811,191.38 and 1,272,459.38 is: 1,996,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,191.38 : 1,272,459.38 = 1,272,459.38 : x
  2. Step 2: Convert to fraction form
    811,191.38/1,272,459.38 = 1,272,459.38/x
  3. Step 3: Cross multiply
    811,191.38x = 1,272,459.38 × 1,272,459.38
  4. Step 4: Simplify right side
    811,191.38x = 1,619,152,861,025.39
  5. Step 5: Solve for x
    x = 1,619,152,861,025.39/811,191.38
  6. Step 6: Final answer
    x = 1,996,018.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.