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Finding the Third Proportional to 677,520 and 990,834

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Solution

The third proportional to 677,520 and 990,834 is: 1,449,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,520 : 990,834 = 990,834 : x
  2. Step 2: Convert to fraction form
    677,520/990,834 = 990,834/x
  3. Step 3: Cross multiply
    677,520x = 990,834 × 990,834
  4. Step 4: Simplify right side
    677,520x = 981,752,015,556
  5. Step 5: Solve for x
    x = 981,752,015,556/677,520
  6. Step 6: Final answer
    x = 1,449,037.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.