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Finding the Third Proportional to 541,865 and 1,190,989

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Solution

The third proportional to 541,865 and 1,190,989 is: 2,617,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,865 : 1,190,989 = 1,190,989 : x
  2. Step 2: Convert to fraction form
    541,865/1,190,989 = 1,190,989/x
  3. Step 3: Cross multiply
    541,865x = 1,190,989 × 1,190,989
  4. Step 4: Simplify right side
    541,865x = 1,418,454,798,121
  5. Step 5: Solve for x
    x = 1,418,454,798,121/541,865
  6. Step 6: Final answer
    x = 2,617,727.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.