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Finding the Third Proportional to 2,049,924 and 3,182,322.75

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Solution

The third proportional to 2,049,924 and 3,182,322.75 is: 4,940,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,924 : 3,182,322.75 = 3,182,322.75 : x
  2. Step 2: Convert to fraction form
    2,049,924/3,182,322.75 = 3,182,322.75/x
  3. Step 3: Cross multiply
    2,049,924x = 3,182,322.75 × 3,182,322.75
  4. Step 4: Simplify right side
    2,049,924x = 10,127,178,085,167.56
  5. Step 5: Solve for x
    x = 10,127,178,085,167.56/2,049,924
  6. Step 6: Final answer
    x = 4,940,270.02

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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.