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Finding the Third Proportional to 600,922 and 1,218,438

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Solution

The third proportional to 600,922 and 1,218,438 is: 2,470,522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,922 : 1,218,438 = 1,218,438 : x
  2. Step 2: Convert to fraction form
    600,922/1,218,438 = 1,218,438/x
  3. Step 3: Cross multiply
    600,922x = 1,218,438 × 1,218,438
  4. Step 4: Simplify right side
    600,922x = 1,484,591,159,844
  5. Step 5: Solve for x
    x = 1,484,591,159,844/600,922
  6. Step 6: Final answer
    x = 2,470,522.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.