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Finding the Third Proportional to 4,121,471 and 6,304,594

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Solution

The third proportional to 4,121,471 and 6,304,594 is: 9,644,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,471 : 6,304,594 = 6,304,594 : x
  2. Step 2: Convert to fraction form
    4,121,471/6,304,594 = 6,304,594/x
  3. Step 3: Cross multiply
    4,121,471x = 6,304,594 × 6,304,594
  4. Step 4: Simplify right side
    4,121,471x = 39,747,905,504,836
  5. Step 5: Solve for x
    x = 39,747,905,504,836/4,121,471
  6. Step 6: Final answer
    x = 9,644,106.56

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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.