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Finding the Third Proportional to 687,660 and 1,463,898

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Solution

The third proportional to 687,660 and 1,463,898 is: 3,116,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,660 : 1,463,898 = 1,463,898 : x
  2. Step 2: Convert to fraction form
    687,660/1,463,898 = 1,463,898/x
  3. Step 3: Cross multiply
    687,660x = 1,463,898 × 1,463,898
  4. Step 4: Simplify right side
    687,660x = 2,142,997,354,404
  5. Step 5: Solve for x
    x = 2,142,997,354,404/687,660
  6. Step 6: Final answer
    x = 3,116,361.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.