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Finding the Third Proportional to 4,011,434 and 6,213,994

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Solution

The third proportional to 4,011,434 and 6,213,994 is: 9,625,914.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011,434 : 6,213,994 = 6,213,994 : x
  2. Step 2: Convert to fraction form
    4,011,434/6,213,994 = 6,213,994/x
  3. Step 3: Cross multiply
    4,011,434x = 6,213,994 × 6,213,994
  4. Step 4: Simplify right side
    4,011,434x = 38,613,721,432,036
  5. Step 5: Solve for x
    x = 38,613,721,432,036/4,011,434
  6. Step 6: Final answer
    x = 9,625,914.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.