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Finding the Third Proportional to 2,952,576 and 6,140,744

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Solution

The third proportional to 2,952,576 and 6,140,744 is: 12,771,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,576 : 6,140,744 = 6,140,744 : x
  2. Step 2: Convert to fraction form
    2,952,576/6,140,744 = 6,140,744/x
  3. Step 3: Cross multiply
    2,952,576x = 6,140,744 × 6,140,744
  4. Step 4: Simplify right side
    2,952,576x = 37,708,736,873,536
  5. Step 5: Solve for x
    x = 37,708,736,873,536/2,952,576
  6. Step 6: Final answer
    x = 12,771,470.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.