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Finding the Third Proportional to 639,002 and 1,367,767.50

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Solution

The third proportional to 639,002 and 1,367,767.50 is: 2,927,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,002 : 1,367,767.50 = 1,367,767.50 : x
  2. Step 2: Convert to fraction form
    639,002/1,367,767.50 = 1,367,767.50/x
  3. Step 3: Cross multiply
    639,002x = 1,367,767.50 × 1,367,767.50
  4. Step 4: Simplify right side
    639,002x = 1,870,787,934,056.25
  5. Step 5: Solve for x
    x = 1,870,787,934,056.25/639,002
  6. Step 6: Final answer
    x = 2,927,671.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.