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Finding the Third Proportional to 1,858,986 and 3,941,289

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Solution

The third proportional to 1,858,986 and 3,941,289 is: 8,356,038.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858,986 : 3,941,289 = 3,941,289 : x
  2. Step 2: Convert to fraction form
    1,858,986/3,941,289 = 3,941,289/x
  3. Step 3: Cross multiply
    1,858,986x = 3,941,289 × 3,941,289
  4. Step 4: Simplify right side
    1,858,986x = 15,533,758,981,521
  5. Step 5: Solve for x
    x = 15,533,758,981,521/1,858,986
  6. Step 6: Final answer
    x = 8,356,038.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.