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Finding the Third Proportional to 2,057,478.75 and 3,198,322.13

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Solution

The third proportional to 2,057,478.75 and 3,198,322.13 is: 4,971,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,478.75 : 3,198,322.13 = 3,198,322.13 : x
  2. Step 2: Convert to fraction form
    2,057,478.75/3,198,322.13 = 3,198,322.13/x
  3. Step 3: Cross multiply
    2,057,478.75x = 3,198,322.13 × 3,198,322.13
  4. Step 4: Simplify right side
    2,057,478.75x = 10,229,264,415,264.52
  5. Step 5: Solve for x
    x = 10,229,264,415,264.52/2,057,478.75
  6. Step 6: Final answer
    x = 4,971,747.30

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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.