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Finding the Third Proportional to 1,580,576 and 2,451,072

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Solution

The third proportional to 1,580,576 and 2,451,072 is: 3,800,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,576 : 2,451,072 = 2,451,072 : x
  2. Step 2: Convert to fraction form
    1,580,576/2,451,072 = 2,451,072/x
  3. Step 3: Cross multiply
    1,580,576x = 2,451,072 × 2,451,072
  4. Step 4: Simplify right side
    1,580,576x = 6,007,753,949,184
  5. Step 5: Solve for x
    x = 6,007,753,949,184/1,580,576
  6. Step 6: Final answer
    x = 3,800,990.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.