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Finding the Third Proportional to 600,917 and 1,218,430

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Solution

The third proportional to 600,917 and 1,218,430 is: 2,470,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,917 : 1,218,430 = 1,218,430 : x
  2. Step 2: Convert to fraction form
    600,917/1,218,430 = 1,218,430/x
  3. Step 3: Cross multiply
    600,917x = 1,218,430 × 1,218,430
  4. Step 4: Simplify right side
    600,917x = 1,484,571,664,900
  5. Step 5: Solve for x
    x = 1,484,571,664,900/600,917
  6. Step 6: Final answer
    x = 2,470,510.34

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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.