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Finding the Third Proportional to 1,160,588.25 and 1,775,226.38

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Solution

The third proportional to 1,160,588.25 and 1,775,226.38 is: 2,715,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,588.25 : 1,775,226.38 = 1,775,226.38 : x
  2. Step 2: Convert to fraction form
    1,160,588.25/1,775,226.38 = 1,775,226.38/x
  3. Step 3: Cross multiply
    1,160,588.25x = 1,775,226.38 × 1,775,226.38
  4. Step 4: Simplify right side
    1,160,588.25x = 3,151,428,682,495.64
  5. Step 5: Solve for x
    x = 3,151,428,682,495.64/1,160,588.25
  6. Step 6: Final answer
    x = 2,715,371.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.