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Finding the Third Proportional to 417,808 and 986,104

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Solution

The third proportional to 417,808 and 986,104 is: 2,327,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,808 : 986,104 = 986,104 : x
  2. Step 2: Convert to fraction form
    417,808/986,104 = 986,104/x
  3. Step 3: Cross multiply
    417,808x = 986,104 × 986,104
  4. Step 4: Simplify right side
    417,808x = 972,401,098,816
  5. Step 5: Solve for x
    x = 972,401,098,816/417,808
  6. Step 6: Final answer
    x = 2,327,387.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.