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Finding the Third Proportional to 2,034,965 and 4,424,224

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Solution

The third proportional to 2,034,965 and 4,424,224 is: 9,618,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,965 : 4,424,224 = 4,424,224 : x
  2. Step 2: Convert to fraction form
    2,034,965/4,424,224 = 4,424,224/x
  3. Step 3: Cross multiply
    2,034,965x = 4,424,224 × 4,424,224
  4. Step 4: Simplify right side
    2,034,965x = 19,573,758,002,176
  5. Step 5: Solve for x
    x = 19,573,758,002,176/2,034,965
  6. Step 6: Final answer
    x = 9,618,719.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.