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Finding the Third Proportional to 1,254,107.81 and 2,757,943.69

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Solution

The third proportional to 1,254,107.81 and 2,757,943.69 is: 6,065,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254,107.81 : 2,757,943.69 = 2,757,943.69 : x
  2. Step 2: Convert to fraction form
    1,254,107.81/2,757,943.69 = 2,757,943.69/x
  3. Step 3: Cross multiply
    1,254,107.81x = 2,757,943.69 × 2,757,943.69
  4. Step 4: Simplify right side
    1,254,107.81x = 7,606,253,383,421.10
  5. Step 5: Solve for x
    x = 7,606,253,383,421.10/1,254,107.81
  6. Step 6: Final answer
    x = 6,065,071.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.