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Finding the Third Proportional to 4,282,209 and 6,305,033.25

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Solution

The third proportional to 4,282,209 and 6,305,033.25 is: 9,283,396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,209 : 6,305,033.25 = 6,305,033.25 : x
  2. Step 2: Convert to fraction form
    4,282,209/6,305,033.25 = 6,305,033.25/x
  3. Step 3: Cross multiply
    4,282,209x = 6,305,033.25 × 6,305,033.25
  4. Step 4: Simplify right side
    4,282,209x = 39,753,444,283,605.56
  5. Step 5: Solve for x
    x = 39,753,444,283,605.56/4,282,209
  6. Step 6: Final answer
    x = 9,283,396.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.