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Finding the Third Proportional to 959,776 and 2,221,918

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Solution

The third proportional to 959,776 and 2,221,918 is: 5,143,824.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,776 : 2,221,918 = 2,221,918 : x
  2. Step 2: Convert to fraction form
    959,776/2,221,918 = 2,221,918/x
  3. Step 3: Cross multiply
    959,776x = 2,221,918 × 2,221,918
  4. Step 4: Simplify right side
    959,776x = 4,936,919,598,724
  5. Step 5: Solve for x
    x = 4,936,919,598,724/959,776
  6. Step 6: Final answer
    x = 5,143,824.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.