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Finding the Third Proportional to 600,981 and 1,224,219

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Solution

The third proportional to 600,981 and 1,224,219 is: 2,493,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,981 : 1,224,219 = 1,224,219 : x
  2. Step 2: Convert to fraction form
    600,981/1,224,219 = 1,224,219/x
  3. Step 3: Cross multiply
    600,981x = 1,224,219 × 1,224,219
  4. Step 4: Simplify right side
    600,981x = 1,498,712,159,961
  5. Step 5: Solve for x
    x = 1,498,712,159,961/600,981
  6. Step 6: Final answer
    x = 2,493,776.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.