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Finding the Third Proportional to 637,832 and 978,710

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Solution

The third proportional to 637,832 and 978,710 is: 1,501,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,832 : 978,710 = 978,710 : x
  2. Step 2: Convert to fraction form
    637,832/978,710 = 978,710/x
  3. Step 3: Cross multiply
    637,832x = 978,710 × 978,710
  4. Step 4: Simplify right side
    637,832x = 957,873,264,100
  5. Step 5: Solve for x
    x = 957,873,264,100/637,832
  6. Step 6: Final answer
    x = 1,501,764.20

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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.