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Finding the Third Proportional to 2,105,785 and 3,234,743

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Solution

The third proportional to 2,105,785 and 3,234,743 is: 4,968,960.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,785 : 3,234,743 = 3,234,743 : x
  2. Step 2: Convert to fraction form
    2,105,785/3,234,743 = 3,234,743/x
  3. Step 3: Cross multiply
    2,105,785x = 3,234,743 × 3,234,743
  4. Step 4: Simplify right side
    2,105,785x = 10,463,562,276,049
  5. Step 5: Solve for x
    x = 10,463,562,276,049/2,105,785
  6. Step 6: Final answer
    x = 4,968,960.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.