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Finding the Third Proportional to 2,077,728 and 4,536,768

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Solution

The third proportional to 2,077,728 and 4,536,768 is: 9,906,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,728 : 4,536,768 = 4,536,768 : x
  2. Step 2: Convert to fraction form
    2,077,728/4,536,768 = 4,536,768/x
  3. Step 3: Cross multiply
    2,077,728x = 4,536,768 × 4,536,768
  4. Step 4: Simplify right side
    2,077,728x = 20,582,263,885,824
  5. Step 5: Solve for x
    x = 20,582,263,885,824/2,077,728
  6. Step 6: Final answer
    x = 9,906,139.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.