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Finding the Third Proportional to 2,176,938 and 3,273,711

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Solution

The third proportional to 2,176,938 and 3,273,711 is: 4,923,054.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,938 : 3,273,711 = 3,273,711 : x
  2. Step 2: Convert to fraction form
    2,176,938/3,273,711 = 3,273,711/x
  3. Step 3: Cross multiply
    2,176,938x = 3,273,711 × 3,273,711
  4. Step 4: Simplify right side
    2,176,938x = 10,717,183,711,521
  5. Step 5: Solve for x
    x = 10,717,183,711,521/2,176,938
  6. Step 6: Final answer
    x = 4,923,054.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.