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Finding the Third Proportional to 1,420,010 and 3,100,226

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Solution

The third proportional to 1,420,010 and 3,100,226 is: 6,768,544.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,010 : 3,100,226 = 3,100,226 : x
  2. Step 2: Convert to fraction form
    1,420,010/3,100,226 = 3,100,226/x
  3. Step 3: Cross multiply
    1,420,010x = 3,100,226 × 3,100,226
  4. Step 4: Simplify right side
    1,420,010x = 9,611,401,251,076
  5. Step 5: Solve for x
    x = 9,611,401,251,076/1,420,010
  6. Step 6: Final answer
    x = 6,768,544.76

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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.