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Finding the Third Proportional to 1,048,224 and 2,245,939

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Solution

The third proportional to 1,048,224 and 2,245,939 is: 4,812,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,224 : 2,245,939 = 2,245,939 : x
  2. Step 2: Convert to fraction form
    1,048,224/2,245,939 = 2,245,939/x
  3. Step 3: Cross multiply
    1,048,224x = 2,245,939 × 2,245,939
  4. Step 4: Simplify right side
    1,048,224x = 5,044,241,991,721
  5. Step 5: Solve for x
    x = 5,044,241,991,721/1,048,224
  6. Step 6: Final answer
    x = 4,812,179.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.