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Finding the Third Proportional to 680,067 and 1,020,213

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Solution

The third proportional to 680,067 and 1,020,213 is: 1,530,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,067 : 1,020,213 = 1,020,213 : x
  2. Step 2: Convert to fraction form
    680,067/1,020,213 = 1,020,213/x
  3. Step 3: Cross multiply
    680,067x = 1,020,213 × 1,020,213
  4. Step 4: Simplify right side
    680,067x = 1,040,834,565,369
  5. Step 5: Solve for x
    x = 1,040,834,565,369/680,067
  6. Step 6: Final answer
    x = 1,530,488.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.