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Finding the Third Proportional to 1,002,285 and 2,185,467

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Solution

The third proportional to 1,002,285 and 2,185,467 is: 4,765,377.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,285 : 2,185,467 = 2,185,467 : x
  2. Step 2: Convert to fraction form
    1,002,285/2,185,467 = 2,185,467/x
  3. Step 3: Cross multiply
    1,002,285x = 2,185,467 × 2,185,467
  4. Step 4: Simplify right side
    1,002,285x = 4,776,266,008,089
  5. Step 5: Solve for x
    x = 4,776,266,008,089/1,002,285
  6. Step 6: Final answer
    x = 4,765,377.12

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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.