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Finding the Third Proportional to 2,065,861 and 2,904,022

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Solution

The third proportional to 2,065,861 and 2,904,022 is: 4,082,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,861 : 2,904,022 = 2,904,022 : x
  2. Step 2: Convert to fraction form
    2,065,861/2,904,022 = 2,904,022/x
  3. Step 3: Cross multiply
    2,065,861x = 2,904,022 × 2,904,022
  4. Step 4: Simplify right side
    2,065,861x = 8,433,343,776,484
  5. Step 5: Solve for x
    x = 8,433,343,776,484/2,065,861
  6. Step 6: Final answer
    x = 4,082,241.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.