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Finding the Third Proportional to 788,498 and 1,198,330

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Solution

The third proportional to 788,498 and 1,198,330 is: 1,821,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,498 : 1,198,330 = 1,198,330 : x
  2. Step 2: Convert to fraction form
    788,498/1,198,330 = 1,198,330/x
  3. Step 3: Cross multiply
    788,498x = 1,198,330 × 1,198,330
  4. Step 4: Simplify right side
    788,498x = 1,435,994,788,900
  5. Step 5: Solve for x
    x = 1,435,994,788,900/788,498
  6. Step 6: Final answer
    x = 1,821,177.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.