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Finding the Third Proportional to 785,498 and 1,245,801

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Solution

The third proportional to 785,498 and 1,245,801 is: 1,975,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,498 : 1,245,801 = 1,245,801 : x
  2. Step 2: Convert to fraction form
    785,498/1,245,801 = 1,245,801/x
  3. Step 3: Cross multiply
    785,498x = 1,245,801 × 1,245,801
  4. Step 4: Simplify right side
    785,498x = 1,552,020,131,601
  5. Step 5: Solve for x
    x = 1,552,020,131,601/785,498
  6. Step 6: Final answer
    x = 1,975,842.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.