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Finding the Third Proportional to 1,089,697.50 and 2,375,580

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Solution

The third proportional to 1,089,697.50 and 2,375,580 is: 5,178,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089,697.50 : 2,375,580 = 2,375,580 : x
  2. Step 2: Convert to fraction form
    1,089,697.50/2,375,580 = 2,375,580/x
  3. Step 3: Cross multiply
    1,089,697.50x = 2,375,580 × 2,375,580
  4. Step 4: Simplify right side
    1,089,697.50x = 5,643,380,336,400
  5. Step 5: Solve for x
    x = 5,643,380,336,400/1,089,697.50
  6. Step 6: Final answer
    x = 5,178,850.40

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Why These Related Problems?

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