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Finding the Third Proportional to 2,098,560 and 3,172,800

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Solution

The third proportional to 2,098,560 and 3,172,800 is: 4,796,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098,560 : 3,172,800 = 3,172,800 : x
  2. Step 2: Convert to fraction form
    2,098,560/3,172,800 = 3,172,800/x
  3. Step 3: Cross multiply
    2,098,560x = 3,172,800 × 3,172,800
  4. Step 4: Simplify right side
    2,098,560x = 10,066,659,840,000
  5. Step 5: Solve for x
    x = 10,066,659,840,000/2,098,560
  6. Step 6: Final answer
    x = 4,796,936.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.