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Finding the Third Proportional to 1,200,850 and 1,826,019

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Solution

The third proportional to 1,200,850 and 1,826,019 is: 2,776,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,850 : 1,826,019 = 1,826,019 : x
  2. Step 2: Convert to fraction form
    1,200,850/1,826,019 = 1,826,019/x
  3. Step 3: Cross multiply
    1,200,850x = 1,826,019 × 1,826,019
  4. Step 4: Simplify right side
    1,200,850x = 3,334,345,388,361
  5. Step 5: Solve for x
    x = 3,334,345,388,361/1,200,850
  6. Step 6: Final answer
    x = 2,776,654.36

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.