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Finding the Third Proportional to 463,932 and 988,632

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Solution

The third proportional to 463,932 and 988,632 is: 2,106,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,932 : 988,632 = 988,632 : x
  2. Step 2: Convert to fraction form
    463,932/988,632 = 988,632/x
  3. Step 3: Cross multiply
    463,932x = 988,632 × 988,632
  4. Step 4: Simplify right side
    463,932x = 977,393,231,424
  5. Step 5: Solve for x
    x = 977,393,231,424/463,932
  6. Step 6: Final answer
    x = 2,106,759.68

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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.