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Finding the Third Proportional to 1,022,976 and 2,389,344

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Solution

The third proportional to 1,022,976 and 2,389,344 is: 5,580,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,976 : 2,389,344 = 2,389,344 : x
  2. Step 2: Convert to fraction form
    1,022,976/2,389,344 = 2,389,344/x
  3. Step 3: Cross multiply
    1,022,976x = 2,389,344 × 2,389,344
  4. Step 4: Simplify right side
    1,022,976x = 5,708,964,750,336
  5. Step 5: Solve for x
    x = 5,708,964,750,336/1,022,976
  6. Step 6: Final answer
    x = 5,580,741.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.