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Finding the Third Proportional to 676,498 and 1,040,179

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Solution

The third proportional to 676,498 and 1,040,179 is: 1,599,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,498 : 1,040,179 = 1,040,179 : x
  2. Step 2: Convert to fraction form
    676,498/1,040,179 = 1,040,179/x
  3. Step 3: Cross multiply
    676,498x = 1,040,179 × 1,040,179
  4. Step 4: Simplify right side
    676,498x = 1,081,972,352,041
  5. Step 5: Solve for x
    x = 1,081,972,352,041/676,498
  6. Step 6: Final answer
    x = 1,599,372.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.