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Finding the Third Proportional to 4,121,209 and 6,304,198

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Solution

The third proportional to 4,121,209 and 6,304,198 is: 9,643,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,209 : 6,304,198 = 6,304,198 : x
  2. Step 2: Convert to fraction form
    4,121,209/6,304,198 = 6,304,198/x
  3. Step 3: Cross multiply
    4,121,209x = 6,304,198 × 6,304,198
  4. Step 4: Simplify right side
    4,121,209x = 39,742,912,423,204
  5. Step 5: Solve for x
    x = 39,742,912,423,204/4,121,209
  6. Step 6: Final answer
    x = 9,643,508.11

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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.