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Finding the Third Proportional to 797,377 and 1,705,398

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Solution

The third proportional to 797,377 and 1,705,398 is: 3,647,436.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,377 : 1,705,398 = 1,705,398 : x
  2. Step 2: Convert to fraction form
    797,377/1,705,398 = 1,705,398/x
  3. Step 3: Cross multiply
    797,377x = 1,705,398 × 1,705,398
  4. Step 4: Simplify right side
    797,377x = 2,908,382,338,404
  5. Step 5: Solve for x
    x = 2,908,382,338,404/797,377
  6. Step 6: Final answer
    x = 3,647,436.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.