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Finding the Third Proportional to 2,089,465.88 and 4,526,717.91

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Solution

The third proportional to 2,089,465.88 and 4,526,717.91 is: 9,806,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089,465.88 : 4,526,717.91 = 4,526,717.91 : x
  2. Step 2: Convert to fraction form
    2,089,465.88/4,526,717.91 = 4,526,717.91/x
  3. Step 3: Cross multiply
    2,089,465.88x = 4,526,717.91 × 4,526,717.91
  4. Step 4: Simplify right side
    2,089,465.88x = 20,491,175,002,764.38
  5. Step 5: Solve for x
    x = 20,491,175,002,764.38/2,089,465.88
  6. Step 6: Final answer
    x = 9,806,896.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.