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Finding the Third Proportional to 656,297.44 and 1,424,633.06

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Solution

The third proportional to 656,297.44 and 1,424,633.06 is: 3,092,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,297.44 : 1,424,633.06 = 1,424,633.06 : x
  2. Step 2: Convert to fraction form
    656,297.44/1,424,633.06 = 1,424,633.06/x
  3. Step 3: Cross multiply
    656,297.44x = 1,424,633.06 × 1,424,633.06
  4. Step 4: Simplify right side
    656,297.44x = 2,029,579,362,768.13
  5. Step 5: Solve for x
    x = 2,029,579,362,768.13/656,297.44
  6. Step 6: Final answer
    x = 3,092,468.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.