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Finding the Third Proportional to 677,513 and 990,822

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Solution

The third proportional to 677,513 and 990,822 is: 1,449,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,513 : 990,822 = 990,822 : x
  2. Step 2: Convert to fraction form
    677,513/990,822 = 990,822/x
  3. Step 3: Cross multiply
    677,513x = 990,822 × 990,822
  4. Step 4: Simplify right side
    677,513x = 981,728,235,684
  5. Step 5: Solve for x
    x = 981,728,235,684/677,513
  6. Step 6: Final answer
    x = 1,449,017.56

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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.