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Finding the Third Proportional to 2,505,412.69 and 3,873,258.84

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Solution

The third proportional to 2,505,412.69 and 3,873,258.84 is: 5,987,889.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,412.69 : 3,873,258.84 = 3,873,258.84 : x
  2. Step 2: Convert to fraction form
    2,505,412.69/3,873,258.84 = 3,873,258.84/x
  3. Step 3: Cross multiply
    2,505,412.69x = 3,873,258.84 × 3,873,258.84
  4. Step 4: Simplify right side
    2,505,412.69x = 15,002,134,070,687.59
  5. Step 5: Solve for x
    x = 15,002,134,070,687.59/2,505,412.69
  6. Step 6: Final answer
    x = 5,987,889.40

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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.