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Finding the Third Proportional to 1,427,940 and 2,974,248

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Solution

The third proportional to 1,427,940 and 2,974,248 is: 6,195,044.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,940 : 2,974,248 = 2,974,248 : x
  2. Step 2: Convert to fraction form
    1,427,940/2,974,248 = 2,974,248/x
  3. Step 3: Cross multiply
    1,427,940x = 2,974,248 × 2,974,248
  4. Step 4: Simplify right side
    1,427,940x = 8,846,151,165,504
  5. Step 5: Solve for x
    x = 8,846,151,165,504/1,427,940
  6. Step 6: Final answer
    x = 6,195,044.03

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