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Finding the Third Proportional to 1,213,058 and 2,641,396

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Solution

The third proportional to 1,213,058 and 2,641,396 is: 5,751,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,058 : 2,641,396 = 2,641,396 : x
  2. Step 2: Convert to fraction form
    1,213,058/2,641,396 = 2,641,396/x
  3. Step 3: Cross multiply
    1,213,058x = 2,641,396 × 2,641,396
  4. Step 4: Simplify right side
    1,213,058x = 6,976,972,828,816
  5. Step 5: Solve for x
    x = 6,976,972,828,816/1,213,058
  6. Step 6: Final answer
    x = 5,751,557.49

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