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Finding the Third Proportional to 2,376,675 and 3,576,411

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Solution

The third proportional to 2,376,675 and 3,576,411 is: 5,381,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,675 : 3,576,411 = 3,576,411 : x
  2. Step 2: Convert to fraction form
    2,376,675/3,576,411 = 3,576,411/x
  3. Step 3: Cross multiply
    2,376,675x = 3,576,411 × 3,576,411
  4. Step 4: Simplify right side
    2,376,675x = 12,790,715,640,921
  5. Step 5: Solve for x
    x = 12,790,715,640,921/2,376,675
  6. Step 6: Final answer
    x = 5,381,768.92

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Why These Related Problems?

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