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Finding the Third Proportional to 600,919 and 1,218,434

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Solution

The third proportional to 600,919 and 1,218,434 is: 2,470,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,919 : 1,218,434 = 1,218,434 : x
  2. Step 2: Convert to fraction form
    600,919/1,218,434 = 1,218,434/x
  3. Step 3: Cross multiply
    600,919x = 1,218,434 × 1,218,434
  4. Step 4: Simplify right side
    600,919x = 1,484,581,412,356
  5. Step 5: Solve for x
    x = 1,484,581,412,356/600,919
  6. Step 6: Final answer
    x = 2,470,518.34

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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.