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Finding the Third Proportional to 3,933,569 and 6,075,044.25

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Solution

The third proportional to 3,933,569 and 6,075,044.25 is: 9,382,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933,569 : 6,075,044.25 = 6,075,044.25 : x
  2. Step 2: Convert to fraction form
    3,933,569/6,075,044.25 = 6,075,044.25/x
  3. Step 3: Cross multiply
    3,933,569x = 6,075,044.25 × 6,075,044.25
  4. Step 4: Simplify right side
    3,933,569x = 36,906,162,639,458.06
  5. Step 5: Solve for x
    x = 36,906,162,639,458.06/3,933,569
  6. Step 6: Final answer
    x = 9,382,360.56

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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.