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Finding the Third Proportional to 2,177,120 and 3,432,650

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Solution

The third proportional to 2,177,120 and 3,432,650 is: 5,412,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177,120 : 3,432,650 = 3,432,650 : x
  2. Step 2: Convert to fraction form
    2,177,120/3,432,650 = 3,432,650/x
  3. Step 3: Cross multiply
    2,177,120x = 3,432,650 × 3,432,650
  4. Step 4: Simplify right side
    2,177,120x = 11,783,086,022,500
  5. Step 5: Solve for x
    x = 11,783,086,022,500/2,177,120
  6. Step 6: Final answer
    x = 5,412,235.44

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.