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Finding the Third Proportional to 4,255,998 and 5,972,013

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Solution

The third proportional to 4,255,998 and 5,972,013 is: 8,379,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255,998 : 5,972,013 = 5,972,013 : x
  2. Step 2: Convert to fraction form
    4,255,998/5,972,013 = 5,972,013/x
  3. Step 3: Cross multiply
    4,255,998x = 5,972,013 × 5,972,013
  4. Step 4: Simplify right side
    4,255,998x = 35,664,939,272,169
  5. Step 5: Solve for x
    x = 35,664,939,272,169/4,255,998
  6. Step 6: Final answer
    x = 8,379,923.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.