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Finding the Third Proportional to 463,024 and 982,892

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Solution

The third proportional to 463,024 and 982,892 is: 2,086,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,024 : 982,892 = 982,892 : x
  2. Step 2: Convert to fraction form
    463,024/982,892 = 982,892/x
  3. Step 3: Cross multiply
    463,024x = 982,892 × 982,892
  4. Step 4: Simplify right side
    463,024x = 966,076,683,664
  5. Step 5: Solve for x
    x = 966,076,683,664/463,024
  6. Step 6: Final answer
    x = 2,086,450.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.