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Finding the Third Proportional to 4,080,434 and 6,296,211

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Solution

The third proportional to 4,080,434 and 6,296,211 is: 9,715,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080,434 : 6,296,211 = 6,296,211 : x
  2. Step 2: Convert to fraction form
    4,080,434/6,296,211 = 6,296,211/x
  3. Step 3: Cross multiply
    4,080,434x = 6,296,211 × 6,296,211
  4. Step 4: Simplify right side
    4,080,434x = 39,642,272,956,521
  5. Step 5: Solve for x
    x = 39,642,272,956,521/4,080,434
  6. Step 6: Final answer
    x = 9,715,209.94

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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.