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Finding the Third Proportional to 648,267 and 1,414,630.50

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Solution

The third proportional to 648,267 and 1,414,630.50 is: 3,086,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,267 : 1,414,630.50 = 1,414,630.50 : x
  2. Step 2: Convert to fraction form
    648,267/1,414,630.50 = 1,414,630.50/x
  3. Step 3: Cross multiply
    648,267x = 1,414,630.50 × 1,414,630.50
  4. Step 4: Simplify right side
    648,267x = 2,001,179,451,530.25
  5. Step 5: Solve for x
    x = 2,001,179,451,530.25/648,267
  6. Step 6: Final answer
    x = 3,086,967.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.