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Finding the Third Proportional to 896,815 and 1,310,734

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Solution

The third proportional to 896,815 and 1,310,734 is: 1,915,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,815 : 1,310,734 = 1,310,734 : x
  2. Step 2: Convert to fraction form
    896,815/1,310,734 = 1,310,734/x
  3. Step 3: Cross multiply
    896,815x = 1,310,734 × 1,310,734
  4. Step 4: Simplify right side
    896,815x = 1,718,023,618,756
  5. Step 5: Solve for x
    x = 1,718,023,618,756/896,815
  6. Step 6: Final answer
    x = 1,915,694.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.