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Finding the Third Proportional to 814,230 and 1,740,274.50

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Solution

The third proportional to 814,230 and 1,740,274.50 is: 3,719,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,230 : 1,740,274.50 = 1,740,274.50 : x
  2. Step 2: Convert to fraction form
    814,230/1,740,274.50 = 1,740,274.50/x
  3. Step 3: Cross multiply
    814,230x = 1,740,274.50 × 1,740,274.50
  4. Step 4: Simplify right side
    814,230x = 3,028,555,335,350.25
  5. Step 5: Solve for x
    x = 3,028,555,335,350.25/814,230
  6. Step 6: Final answer
    x = 3,719,532.98

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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.