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Finding the Third Proportional to 821,498 and 1,797,598

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Solution

The third proportional to 821,498 and 1,797,598 is: 3,933,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,498 : 1,797,598 = 1,797,598 : x
  2. Step 2: Convert to fraction form
    821,498/1,797,598 = 1,797,598/x
  3. Step 3: Cross multiply
    821,498x = 1,797,598 × 1,797,598
  4. Step 4: Simplify right side
    821,498x = 3,231,358,569,604
  5. Step 5: Solve for x
    x = 3,231,358,569,604/821,498
  6. Step 6: Final answer
    x = 3,933,495.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.