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Finding the Third Proportional to 398,816 and 867,612

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Solution

The third proportional to 398,816 and 867,612 is: 1,887,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,816 : 867,612 = 867,612 : x
  2. Step 2: Convert to fraction form
    398,816/867,612 = 867,612/x
  3. Step 3: Cross multiply
    398,816x = 867,612 × 867,612
  4. Step 4: Simplify right side
    398,816x = 752,750,582,544
  5. Step 5: Solve for x
    x = 752,750,582,544/398,816
  6. Step 6: Final answer
    x = 1,887,463.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.