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Finding the Third Proportional to 1,181,333.11 and 2,576,479.64

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Solution

The third proportional to 1,181,333.11 and 2,576,479.64 is: 5,619,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,333.11 : 2,576,479.64 = 2,576,479.64 : x
  2. Step 2: Convert to fraction form
    1,181,333.11/2,576,479.64 = 2,576,479.64/x
  3. Step 3: Cross multiply
    1,181,333.11x = 2,576,479.64 × 2,576,479.64
  4. Step 4: Simplify right side
    1,181,333.11x = 6,638,247,338,555.13
  5. Step 5: Solve for x
    x = 6,638,247,338,555.13/1,181,333.11
  6. Step 6: Final answer
    x = 5,619,284.93

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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.