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Finding the Third Proportional to 3,148,794 and 5,012,786.25

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Solution

The third proportional to 3,148,794 and 5,012,786.25 is: 7,980,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,794 : 5,012,786.25 = 5,012,786.25 : x
  2. Step 2: Convert to fraction form
    3,148,794/5,012,786.25 = 5,012,786.25/x
  3. Step 3: Cross multiply
    3,148,794x = 5,012,786.25 × 5,012,786.25
  4. Step 4: Simplify right side
    3,148,794x = 25,128,025,988,189.06
  5. Step 5: Solve for x
    x = 25,128,025,988,189.06/3,148,794
  6. Step 6: Final answer
    x = 7,980,206.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.