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Finding the Third Proportional to 1,579,412.25 and 2,309,885.44

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Solution

The third proportional to 1,579,412.25 and 2,309,885.44 is: 3,378,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579,412.25 : 2,309,885.44 = 2,309,885.44 : x
  2. Step 2: Convert to fraction form
    1,579,412.25/2,309,885.44 = 2,309,885.44/x
  3. Step 3: Cross multiply
    1,579,412.25x = 2,309,885.44 × 2,309,885.44
  4. Step 4: Simplify right side
    1,579,412.25x = 5,335,570,734,374.57
  5. Step 5: Solve for x
    x = 5,335,570,734,374.57/1,579,412.25
  6. Step 6: Final answer
    x = 3,378,200.17

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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.