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Finding the Third Proportional to 741,645 and 1,619,203.50

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Solution

The third proportional to 741,645 and 1,619,203.50 is: 3,535,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,645 : 1,619,203.50 = 1,619,203.50 : x
  2. Step 2: Convert to fraction form
    741,645/1,619,203.50 = 1,619,203.50/x
  3. Step 3: Cross multiply
    741,645x = 1,619,203.50 × 1,619,203.50
  4. Step 4: Simplify right side
    741,645x = 2,621,819,974,412.25
  5. Step 5: Solve for x
    x = 2,621,819,974,412.25/741,645
  6. Step 6: Final answer
    x = 3,535,141.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.