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Finding the Third Proportional to 959,786 and 2,221,961

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Solution

The third proportional to 959,786 and 2,221,961 is: 5,143,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,786 : 2,221,961 = 2,221,961 : x
  2. Step 2: Convert to fraction form
    959,786/2,221,961 = 2,221,961/x
  3. Step 3: Cross multiply
    959,786x = 2,221,961 × 2,221,961
  4. Step 4: Simplify right side
    959,786x = 4,937,110,685,521
  5. Step 5: Solve for x
    x = 4,937,110,685,521/959,786
  6. Step 6: Final answer
    x = 5,143,970.31

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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.