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Finding the Third Proportional to 1,787,833.13 and 3,880,441.13

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Solution

The third proportional to 1,787,833.13 and 3,880,441.13 is: 8,422,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787,833.13 : 3,880,441.13 = 3,880,441.13 : x
  2. Step 2: Convert to fraction form
    1,787,833.13/3,880,441.13 = 3,880,441.13/x
  3. Step 3: Cross multiply
    1,787,833.13x = 3,880,441.13 × 3,880,441.13
  4. Step 4: Simplify right side
    1,787,833.13x = 15,057,823,324,591.27
  5. Step 5: Solve for x
    x = 15,057,823,324,591.27/1,787,833.13
  6. Step 6: Final answer
    x = 8,422,387.48

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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.