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Finding the Third Proportional to 1,809,747.56 and 2,653,727.06

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Solution

The third proportional to 1,809,747.56 and 2,653,727.06 is: 3,891,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,747.56 : 2,653,727.06 = 2,653,727.06 : x
  2. Step 2: Convert to fraction form
    1,809,747.56/2,653,727.06 = 2,653,727.06/x
  3. Step 3: Cross multiply
    1,809,747.56x = 2,653,727.06 × 2,653,727.06
  4. Step 4: Simplify right side
    1,809,747.56x = 7,042,267,322,244.88
  5. Step 5: Solve for x
    x = 7,042,267,322,244.88/1,809,747.56
  6. Step 6: Final answer
    x = 3,891,298.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.