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Finding the Third Proportional to 1,420,026 and 3,100,260

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Solution

The third proportional to 1,420,026 and 3,100,260 is: 6,768,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,026 : 3,100,260 = 3,100,260 : x
  2. Step 2: Convert to fraction form
    1,420,026/3,100,260 = 3,100,260/x
  3. Step 3: Cross multiply
    1,420,026x = 3,100,260 × 3,100,260
  4. Step 4: Simplify right side
    1,420,026x = 9,611,612,067,600
  5. Step 5: Solve for x
    x = 9,611,612,067,600/1,420,026
  6. Step 6: Final answer
    x = 6,768,616.96

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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.