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Finding the Third Proportional to 637,848 and 978,723

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Solution

The third proportional to 637,848 and 978,723 is: 1,501,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,848 : 978,723 = 978,723 : x
  2. Step 2: Convert to fraction form
    637,848/978,723 = 978,723/x
  3. Step 3: Cross multiply
    637,848x = 978,723 × 978,723
  4. Step 4: Simplify right side
    637,848x = 957,898,710,729
  5. Step 5: Solve for x
    x = 957,898,710,729/637,848
  6. Step 6: Final answer
    x = 1,501,766.43

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.