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Finding the Third Proportional to 684,228 and 985,608

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Solution

The third proportional to 684,228 and 985,608 is: 1,419,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,228 : 985,608 = 985,608 : x
  2. Step 2: Convert to fraction form
    684,228/985,608 = 985,608/x
  3. Step 3: Cross multiply
    684,228x = 985,608 × 985,608
  4. Step 4: Simplify right side
    684,228x = 971,423,129,664
  5. Step 5: Solve for x
    x = 971,423,129,664/684,228
  6. Step 6: Final answer
    x = 1,419,736.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.