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Finding the Third Proportional to 1,428,156 and 2,974,680

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Solution

The third proportional to 1,428,156 and 2,974,680 is: 6,195,906.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,156 : 2,974,680 = 2,974,680 : x
  2. Step 2: Convert to fraction form
    1,428,156/2,974,680 = 2,974,680/x
  3. Step 3: Cross multiply
    1,428,156x = 2,974,680 × 2,974,680
  4. Step 4: Simplify right side
    1,428,156x = 8,848,721,102,400
  5. Step 5: Solve for x
    x = 8,848,721,102,400/1,428,156
  6. Step 6: Final answer
    x = 6,195,906.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.