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Finding the Third Proportional to 3,918,721.75 and 6,052,811.25

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Solution

The third proportional to 3,918,721.75 and 6,052,811.25 is: 9,349,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918,721.75 : 6,052,811.25 = 6,052,811.25 : x
  2. Step 2: Convert to fraction form
    3,918,721.75/6,052,811.25 = 6,052,811.25/x
  3. Step 3: Cross multiply
    3,918,721.75x = 6,052,811.25 × 6,052,811.25
  4. Step 4: Simplify right side
    3,918,721.75x = 36,636,524,028,126.56
  5. Step 5: Solve for x
    x = 36,636,524,028,126.56/3,918,721.75
  6. Step 6: Final answer
    x = 9,349,100.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.