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Finding the Third Proportional to 1,579,395.80 and 2,309,862.23

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Solution

The third proportional to 1,579,395.80 and 2,309,862.23 is: 3,378,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579,395.80 : 2,309,862.23 = 2,309,862.23 : x
  2. Step 2: Convert to fraction form
    1,579,395.80/2,309,862.23 = 2,309,862.23/x
  3. Step 3: Cross multiply
    1,579,395.80x = 2,309,862.23 × 2,309,862.23
  4. Step 4: Simplify right side
    1,579,395.80x = 5,335,463,541,791.87
  5. Step 5: Solve for x
    x = 5,335,463,541,791.87/1,579,395.80
  6. Step 6: Final answer
    x = 3,378,167.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.