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Finding the Third Proportional to 394,579 and 882,854

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Solution

The third proportional to 394,579 and 882,854 is: 1,975,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,579 : 882,854 = 882,854 : x
  2. Step 2: Convert to fraction form
    394,579/882,854 = 882,854/x
  3. Step 3: Cross multiply
    394,579x = 882,854 × 882,854
  4. Step 4: Simplify right side
    394,579x = 779,431,185,316
  5. Step 5: Solve for x
    x = 779,431,185,316/394,579
  6. Step 6: Final answer
    x = 1,975,348.88

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.