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Finding the Third Proportional to 2,777,949 and 4,174,319.25

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Solution

The third proportional to 2,777,949 and 4,174,319.25 is: 6,272,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777,949 : 4,174,319.25 = 4,174,319.25 : x
  2. Step 2: Convert to fraction form
    2,777,949/4,174,319.25 = 4,174,319.25/x
  3. Step 3: Cross multiply
    2,777,949x = 4,174,319.25 × 4,174,319.25
  4. Step 4: Simplify right side
    2,777,949x = 17,424,941,200,920.56
  5. Step 5: Solve for x
    x = 17,424,941,200,920.56/2,777,949
  6. Step 6: Final answer
    x = 6,272,592.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.