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Finding the Third Proportional to 2,053,856.25 and 3,192,723

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Solution

The third proportional to 2,053,856.25 and 3,192,723 is: 4,963,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,856.25 : 3,192,723 = 3,192,723 : x
  2. Step 2: Convert to fraction form
    2,053,856.25/3,192,723 = 3,192,723/x
  3. Step 3: Cross multiply
    2,053,856.25x = 3,192,723 × 3,192,723
  4. Step 4: Simplify right side
    2,053,856.25x = 10,193,480,154,729
  5. Step 5: Solve for x
    x = 10,193,480,154,729/2,053,856.25
  6. Step 6: Final answer
    x = 4,963,093.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.