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Finding the Third Proportional to 2,277,524 and 3,493,470

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Solution

The third proportional to 2,277,524 and 3,493,470 is: 5,358,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,524 : 3,493,470 = 3,493,470 : x
  2. Step 2: Convert to fraction form
    2,277,524/3,493,470 = 3,493,470/x
  3. Step 3: Cross multiply
    2,277,524x = 3,493,470 × 3,493,470
  4. Step 4: Simplify right side
    2,277,524x = 12,204,332,640,900
  5. Step 5: Solve for x
    x = 12,204,332,640,900/2,277,524
  6. Step 6: Final answer
    x = 5,358,596.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.