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Finding the Third Proportional to 645,732 and 1,274,904

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Solution

The third proportional to 645,732 and 1,274,904 is: 2,517,112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,732 : 1,274,904 = 1,274,904 : x
  2. Step 2: Convert to fraction form
    645,732/1,274,904 = 1,274,904/x
  3. Step 3: Cross multiply
    645,732x = 1,274,904 × 1,274,904
  4. Step 4: Simplify right side
    645,732x = 1,625,380,209,216
  5. Step 5: Solve for x
    x = 1,625,380,209,216/645,732
  6. Step 6: Final answer
    x = 2,517,112.69

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.