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Finding the Third Proportional to 437,807.53 and 961,811.72

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Solution

The third proportional to 437,807.53 and 961,811.72 is: 2,112,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,807.53 : 961,811.72 = 961,811.72 : x
  2. Step 2: Convert to fraction form
    437,807.53/961,811.72 = 961,811.72/x
  3. Step 3: Cross multiply
    437,807.53x = 961,811.72 × 961,811.72
  4. Step 4: Simplify right side
    437,807.53x = 925,081,782,324.83
  5. Step 5: Solve for x
    x = 925,081,782,324.83/437,807.53
  6. Step 6: Final answer
    x = 2,112,987.37

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Why These Related Problems?

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