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Finding the Third Proportional to 806,920 and 1,172,544

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Solution

The third proportional to 806,920 and 1,172,544 is: 1,703,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,920 : 1,172,544 = 1,172,544 : x
  2. Step 2: Convert to fraction form
    806,920/1,172,544 = 1,172,544/x
  3. Step 3: Cross multiply
    806,920x = 1,172,544 × 1,172,544
  4. Step 4: Simplify right side
    806,920x = 1,374,859,431,936
  5. Step 5: Solve for x
    x = 1,374,859,431,936/806,920
  6. Step 6: Final answer
    x = 1,703,836.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.