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Finding the Third Proportional to 684,012 and 1,484,847

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Solution

The third proportional to 684,012 and 1,484,847 is: 3,223,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,012 : 1,484,847 = 1,484,847 : x
  2. Step 2: Convert to fraction form
    684,012/1,484,847 = 1,484,847/x
  3. Step 3: Cross multiply
    684,012x = 1,484,847 × 1,484,847
  4. Step 4: Simplify right side
    684,012x = 2,204,770,613,409
  5. Step 5: Solve for x
    x = 2,204,770,613,409/684,012
  6. Step 6: Final answer
    x = 3,223,292.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.