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Finding the Third Proportional to 800,515.13 and 1,715,437.69

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Solution

The third proportional to 800,515.13 and 1,715,437.69 is: 3,676,041.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,515.13 : 1,715,437.69 = 1,715,437.69 : x
  2. Step 2: Convert to fraction form
    800,515.13/1,715,437.69 = 1,715,437.69/x
  3. Step 3: Cross multiply
    800,515.13x = 1,715,437.69 × 1,715,437.69
  4. Step 4: Simplify right side
    800,515.13x = 2,942,726,459,695.35
  5. Step 5: Solve for x
    x = 2,942,726,459,695.35/800,515.13
  6. Step 6: Final answer
    x = 3,676,041.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.