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Finding the Third Proportional to 687,534.75 and 1,512,121.50

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Solution

The third proportional to 687,534.75 and 1,512,121.50 is: 3,325,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,534.75 : 1,512,121.50 = 1,512,121.50 : x
  2. Step 2: Convert to fraction form
    687,534.75/1,512,121.50 = 1,512,121.50/x
  3. Step 3: Cross multiply
    687,534.75x = 1,512,121.50 × 1,512,121.50
  4. Step 4: Simplify right side
    687,534.75x = 2,286,511,430,762.25
  5. Step 5: Solve for x
    x = 2,286,511,430,762.25/687,534.75
  6. Step 6: Final answer
    x = 3,325,666.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.