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Finding the Third Proportional to 451,852 and 978,088

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Solution

The third proportional to 451,852 and 978,088 is: 2,117,189.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,852 : 978,088 = 978,088 : x
  2. Step 2: Convert to fraction form
    451,852/978,088 = 978,088/x
  3. Step 3: Cross multiply
    451,852x = 978,088 × 978,088
  4. Step 4: Simplify right side
    451,852x = 956,656,135,744
  5. Step 5: Solve for x
    x = 956,656,135,744/451,852
  6. Step 6: Final answer
    x = 2,117,189.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.