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Finding the Third Proportional to 747,715.50 and 1,630,768.50

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Solution

The third proportional to 747,715.50 and 1,630,768.50 is: 3,556,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,715.50 : 1,630,768.50 = 1,630,768.50 : x
  2. Step 2: Convert to fraction form
    747,715.50/1,630,768.50 = 1,630,768.50/x
  3. Step 3: Cross multiply
    747,715.50x = 1,630,768.50 × 1,630,768.50
  4. Step 4: Simplify right side
    747,715.50x = 2,659,405,900,592.25
  5. Step 5: Solve for x
    x = 2,659,405,900,592.25/747,715.50
  6. Step 6: Final answer
    x = 3,556,708.27

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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.