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Finding the Third Proportional to 2,728,386 and 5,941,155

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Solution

The third proportional to 2,728,386 and 5,941,155 is: 12,937,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728,386 : 5,941,155 = 5,941,155 : x
  2. Step 2: Convert to fraction form
    2,728,386/5,941,155 = 5,941,155/x
  3. Step 3: Cross multiply
    2,728,386x = 5,941,155 × 5,941,155
  4. Step 4: Simplify right side
    2,728,386x = 35,297,322,734,025
  5. Step 5: Solve for x
    x = 35,297,322,734,025/2,728,386
  6. Step 6: Final answer
    x = 12,937,070.76

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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.