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Finding the Third Proportional to 2,754,109 and 5,731,748

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Solution

The third proportional to 2,754,109 and 5,731,748 is: 11,928,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754,109 : 5,731,748 = 5,731,748 : x
  2. Step 2: Convert to fraction form
    2,754,109/5,731,748 = 5,731,748/x
  3. Step 3: Cross multiply
    2,754,109x = 5,731,748 × 5,731,748
  4. Step 4: Simplify right side
    2,754,109x = 32,852,935,135,504
  5. Step 5: Solve for x
    x = 32,852,935,135,504/2,754,109
  6. Step 6: Final answer
    x = 11,928,698.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.