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Finding the Third Proportional to 404,720 and 880,837

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Solution

The third proportional to 404,720 and 880,837 is: 1,917,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,720 : 880,837 = 880,837 : x
  2. Step 2: Convert to fraction form
    404,720/880,837 = 880,837/x
  3. Step 3: Cross multiply
    404,720x = 880,837 × 880,837
  4. Step 4: Simplify right side
    404,720x = 775,873,820,569
  5. Step 5: Solve for x
    x = 775,873,820,569/404,720
  6. Step 6: Final answer
    x = 1,917,063.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.