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Finding the Third Proportional to 773,219.25 and 1,616,856.19

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Solution

The third proportional to 773,219.25 and 1,616,856.19 is: 3,380,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,219.25 : 1,616,856.19 = 1,616,856.19 : x
  2. Step 2: Convert to fraction form
    773,219.25/1,616,856.19 = 1,616,856.19/x
  3. Step 3: Cross multiply
    773,219.25x = 1,616,856.19 × 1,616,856.19
  4. Step 4: Simplify right side
    773,219.25x = 2,614,223,931,057.04
  5. Step 5: Solve for x
    x = 2,614,223,931,057.04/773,219.25
  6. Step 6: Final answer
    x = 3,380,960.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.