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Finding the Third Proportional to 654,848 and 1,434,616

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Solution

The third proportional to 654,848 and 1,434,616 is: 3,142,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,848 : 1,434,616 = 1,434,616 : x
  2. Step 2: Convert to fraction form
    654,848/1,434,616 = 1,434,616/x
  3. Step 3: Cross multiply
    654,848x = 1,434,616 × 1,434,616
  4. Step 4: Simplify right side
    654,848x = 2,058,123,067,456
  5. Step 5: Solve for x
    x = 2,058,123,067,456/654,848
  6. Step 6: Final answer
    x = 3,142,901.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.