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Finding the Third Proportional to 634,376 and 1,394,928

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Solution

The third proportional to 634,376 and 1,394,928 is: 3,067,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,376 : 1,394,928 = 1,394,928 : x
  2. Step 2: Convert to fraction form
    634,376/1,394,928 = 1,394,928/x
  3. Step 3: Cross multiply
    634,376x = 1,394,928 × 1,394,928
  4. Step 4: Simplify right side
    634,376x = 1,945,824,125,184
  5. Step 5: Solve for x
    x = 1,945,824,125,184/634,376
  6. Step 6: Final answer
    x = 3,067,304.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.