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Finding the Third Proportional to 3,156,144 and 4,465,872

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Solution

The third proportional to 3,156,144 and 4,465,872 is: 6,319,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156,144 : 4,465,872 = 4,465,872 : x
  2. Step 2: Convert to fraction form
    3,156,144/4,465,872 = 4,465,872/x
  3. Step 3: Cross multiply
    3,156,144x = 4,465,872 × 4,465,872
  4. Step 4: Simplify right side
    3,156,144x = 19,944,012,720,384
  5. Step 5: Solve for x
    x = 19,944,012,720,384/3,156,144
  6. Step 6: Final answer
    x = 6,319,107.34

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.