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Finding the Third Proportional to 3,933,584 and 6,075,068

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Solution

The third proportional to 3,933,584 and 6,075,068 is: 9,382,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933,584 : 6,075,068 = 6,075,068 : x
  2. Step 2: Convert to fraction form
    3,933,584/6,075,068 = 6,075,068/x
  3. Step 3: Cross multiply
    3,933,584x = 6,075,068 × 6,075,068
  4. Step 4: Simplify right side
    3,933,584x = 36,906,451,204,624
  5. Step 5: Solve for x
    x = 36,906,451,204,624/3,933,584
  6. Step 6: Final answer
    x = 9,382,398.14

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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.