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Finding the Third Proportional to 422,289 and 911,008.69

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Solution

The third proportional to 422,289 and 911,008.69 is: 1,965,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,289 : 911,008.69 = 911,008.69 : x
  2. Step 2: Convert to fraction form
    422,289/911,008.69 = 911,008.69/x
  3. Step 3: Cross multiply
    422,289x = 911,008.69 × 911,008.69
  4. Step 4: Simplify right side
    422,289x = 829,936,828,700.47
  5. Step 5: Solve for x
    x = 829,936,828,700.47/422,289
  6. Step 6: Final answer
    x = 1,965,329.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.