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Finding the Third Proportional to 738,878 and 1,590,756

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Solution

The third proportional to 738,878 and 1,590,756 is: 3,424,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,878 : 1,590,756 = 1,590,756 : x
  2. Step 2: Convert to fraction form
    738,878/1,590,756 = 1,590,756/x
  3. Step 3: Cross multiply
    738,878x = 1,590,756 × 1,590,756
  4. Step 4: Simplify right side
    738,878x = 2,530,504,651,536
  5. Step 5: Solve for x
    x = 2,530,504,651,536/738,878
  6. Step 6: Final answer
    x = 3,424,793.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.