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Finding the Third Proportional to 566,106 and 825,822

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Solution

The third proportional to 566,106 and 825,822 is: 1,204,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,106 : 825,822 = 825,822 : x
  2. Step 2: Convert to fraction form
    566,106/825,822 = 825,822/x
  3. Step 3: Cross multiply
    566,106x = 825,822 × 825,822
  4. Step 4: Simplify right side
    566,106x = 681,981,975,684
  5. Step 5: Solve for x
    x = 681,981,975,684/566,106
  6. Step 6: Final answer
    x = 1,204,689.54

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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.