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Finding the Third Proportional to 2,302,569 and 3,454,119

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Solution

The third proportional to 2,302,569 and 3,454,119 is: 5,181,576.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302,569 : 3,454,119 = 3,454,119 : x
  2. Step 2: Convert to fraction form
    2,302,569/3,454,119 = 3,454,119/x
  3. Step 3: Cross multiply
    2,302,569x = 3,454,119 × 3,454,119
  4. Step 4: Simplify right side
    2,302,569x = 11,930,938,066,161
  5. Step 5: Solve for x
    x = 11,930,938,066,161/2,302,569
  6. Step 6: Final answer
    x = 5,181,576.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.