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Finding the Third Proportional to 965,337.75 and 1,420,122.38

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Solution

The third proportional to 965,337.75 and 1,420,122.38 is: 2,089,162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,337.75 : 1,420,122.38 = 1,420,122.38 : x
  2. Step 2: Convert to fraction form
    965,337.75/1,420,122.38 = 1,420,122.38/x
  3. Step 3: Cross multiply
    965,337.75x = 1,420,122.38 × 1,420,122.38
  4. Step 4: Simplify right side
    965,337.75x = 2,016,747,559,975.64
  5. Step 5: Solve for x
    x = 2,016,747,559,975.64/965,337.75
  6. Step 6: Final answer
    x = 2,089,162.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.