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Finding the Third Proportional to 1,221,462 and 2,412,267.75

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Solution

The third proportional to 1,221,462 and 2,412,267.75 is: 4,763,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221,462 : 2,412,267.75 = 2,412,267.75 : x
  2. Step 2: Convert to fraction form
    1,221,462/2,412,267.75 = 2,412,267.75/x
  3. Step 3: Cross multiply
    1,221,462x = 2,412,267.75 × 2,412,267.75
  4. Step 4: Simplify right side
    1,221,462x = 5,819,035,697,690.06
  5. Step 5: Solve for x
    x = 5,819,035,697,690.06/1,221,462
  6. Step 6: Final answer
    x = 4,763,992.41

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.