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Finding the Third Proportional to 855,498 and 1,324,503

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Solution

The third proportional to 855,498 and 1,324,503 is: 2,050,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,498 : 1,324,503 = 1,324,503 : x
  2. Step 2: Convert to fraction form
    855,498/1,324,503 = 1,324,503/x
  3. Step 3: Cross multiply
    855,498x = 1,324,503 × 1,324,503
  4. Step 4: Simplify right side
    855,498x = 1,754,308,197,009
  5. Step 5: Solve for x
    x = 1,754,308,197,009/855,498
  6. Step 6: Final answer
    x = 2,050,628.05

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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.