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Finding the Third Proportional to 1,276,171.50 and 1,976,997

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Solution

The third proportional to 1,276,171.50 and 1,976,997 is: 3,062,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,171.50 : 1,976,997 = 1,976,997 : x
  2. Step 2: Convert to fraction form
    1,276,171.50/1,976,997 = 1,976,997/x
  3. Step 3: Cross multiply
    1,276,171.50x = 1,976,997 × 1,976,997
  4. Step 4: Simplify right side
    1,276,171.50x = 3,908,517,138,009
  5. Step 5: Solve for x
    x = 3,908,517,138,009/1,276,171.50
  6. Step 6: Final answer
    x = 3,062,689.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.