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Finding the Third Proportional to 853,544 and 1,321,536

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Solution

The third proportional to 853,544 and 1,321,536 is: 2,046,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,544 : 1,321,536 = 1,321,536 : x
  2. Step 2: Convert to fraction form
    853,544/1,321,536 = 1,321,536/x
  3. Step 3: Cross multiply
    853,544x = 1,321,536 × 1,321,536
  4. Step 4: Simplify right side
    853,544x = 1,746,457,399,296
  5. Step 5: Solve for x
    x = 1,746,457,399,296/853,544
  6. Step 6: Final answer
    x = 2,046,124.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.