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Finding the Third Proportional to 458,895 and 984,219

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Solution

The third proportional to 458,895 and 984,219 is: 2,110,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,895 : 984,219 = 984,219 : x
  2. Step 2: Convert to fraction form
    458,895/984,219 = 984,219/x
  3. Step 3: Cross multiply
    458,895x = 984,219 × 984,219
  4. Step 4: Simplify right side
    458,895x = 968,687,039,961
  5. Step 5: Solve for x
    x = 968,687,039,961/458,895
  6. Step 6: Final answer
    x = 2,110,912.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.