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Finding the Third Proportional to 1,947,096 and 2,904,441

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Solution

The third proportional to 1,947,096 and 2,904,441 is: 4,332,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,096 : 2,904,441 = 2,904,441 : x
  2. Step 2: Convert to fraction form
    1,947,096/2,904,441 = 2,904,441/x
  3. Step 3: Cross multiply
    1,947,096x = 2,904,441 × 2,904,441
  4. Step 4: Simplify right side
    1,947,096x = 8,435,777,522,481
  5. Step 5: Solve for x
    x = 8,435,777,522,481/1,947,096
  6. Step 6: Final answer
    x = 4,332,491.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.