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Finding the Third Proportional to 4,080,432 and 6,296,208

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Solution

The third proportional to 4,080,432 and 6,296,208 is: 9,715,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080,432 : 6,296,208 = 6,296,208 : x
  2. Step 2: Convert to fraction form
    4,080,432/6,296,208 = 6,296,208/x
  3. Step 3: Cross multiply
    4,080,432x = 6,296,208 × 6,296,208
  4. Step 4: Simplify right side
    4,080,432x = 39,642,235,179,264
  5. Step 5: Solve for x
    x = 39,642,235,179,264/4,080,432
  6. Step 6: Final answer
    x = 9,715,205.44

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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.