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Finding the Third Proportional to 4,121,214 and 6,304,205

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Solution

The third proportional to 4,121,214 and 6,304,205 is: 9,643,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,214 : 6,304,205 = 6,304,205 : x
  2. Step 2: Convert to fraction form
    4,121,214/6,304,205 = 6,304,205/x
  3. Step 3: Cross multiply
    4,121,214x = 6,304,205 × 6,304,205
  4. Step 4: Simplify right side
    4,121,214x = 39,743,000,682,025
  5. Step 5: Solve for x
    x = 39,743,000,682,025/4,121,214
  6. Step 6: Final answer
    x = 9,643,517.83

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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.