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Finding the Third Proportional to 4,282,560 and 6,305,524

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Solution

The third proportional to 4,282,560 and 6,305,524 is: 9,284,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,560 : 6,305,524 = 6,305,524 : x
  2. Step 2: Convert to fraction form
    4,282,560/6,305,524 = 6,305,524/x
  3. Step 3: Cross multiply
    4,282,560x = 6,305,524 × 6,305,524
  4. Step 4: Simplify right side
    4,282,560x = 39,759,632,914,576
  5. Step 5: Solve for x
    x = 39,759,632,914,576/4,282,560
  6. Step 6: Final answer
    x = 9,284,080.76

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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.