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Finding the Third Proportional to 3,498,986 and 5,230,263

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Solution

The third proportional to 3,498,986 and 5,230,263 is: 7,818,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498,986 : 5,230,263 = 5,230,263 : x
  2. Step 2: Convert to fraction form
    3,498,986/5,230,263 = 5,230,263/x
  3. Step 3: Cross multiply
    3,498,986x = 5,230,263 × 5,230,263
  4. Step 4: Simplify right side
    3,498,986x = 27,355,651,049,169
  5. Step 5: Solve for x
    x = 27,355,651,049,169/3,498,986
  6. Step 6: Final answer
    x = 7,818,165.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.