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Finding the Third Proportional to 1,226,940 and 2,513,374

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Solution

The third proportional to 1,226,940 and 2,513,374 is: 5,148,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,940 : 2,513,374 = 2,513,374 : x
  2. Step 2: Convert to fraction form
    1,226,940/2,513,374 = 2,513,374/x
  3. Step 3: Cross multiply
    1,226,940x = 2,513,374 × 2,513,374
  4. Step 4: Simplify right side
    1,226,940x = 6,317,048,863,876
  5. Step 5: Solve for x
    x = 6,317,048,863,876/1,226,940
  6. Step 6: Final answer
    x = 5,148,620.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.