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Finding the Third Proportional to 2,665,966 and 3,809,666

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Solution

The third proportional to 2,665,966 and 3,809,666 is: 5,444,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,966 : 3,809,666 = 3,809,666 : x
  2. Step 2: Convert to fraction form
    2,665,966/3,809,666 = 3,809,666/x
  3. Step 3: Cross multiply
    2,665,966x = 3,809,666 × 3,809,666
  4. Step 4: Simplify right side
    2,665,966x = 14,513,555,031,556
  5. Step 5: Solve for x
    x = 14,513,555,031,556/2,665,966
  6. Step 6: Final answer
    x = 5,444,013.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.