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Finding the Third Proportional to 2,035,984 and 3,149,631

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Solution

The third proportional to 2,035,984 and 3,149,631 is: 4,872,423.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035,984 : 3,149,631 = 3,149,631 : x
  2. Step 2: Convert to fraction form
    2,035,984/3,149,631 = 3,149,631/x
  3. Step 3: Cross multiply
    2,035,984x = 3,149,631 × 3,149,631
  4. Step 4: Simplify right side
    2,035,984x = 9,920,175,436,161
  5. Step 5: Solve for x
    x = 9,920,175,436,161/2,035,984
  6. Step 6: Final answer
    x = 4,872,423.08

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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.