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Finding the Third Proportional to 4,459,320 and 6,832,782

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Solution

The third proportional to 4,459,320 and 6,832,782 is: 10,469,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459,320 : 6,832,782 = 6,832,782 : x
  2. Step 2: Convert to fraction form
    4,459,320/6,832,782 = 6,832,782/x
  3. Step 3: Cross multiply
    4,459,320x = 6,832,782 × 6,832,782
  4. Step 4: Simplify right side
    4,459,320x = 46,686,909,859,524
  5. Step 5: Solve for x
    x = 46,686,909,859,524/4,459,320
  6. Step 6: Final answer
    x = 10,469,513.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.