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Finding the Third Proportional to 463,674 and 988,596

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Solution

The third proportional to 463,674 and 988,596 is: 2,107,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,674 : 988,596 = 988,596 : x
  2. Step 2: Convert to fraction form
    463,674/988,596 = 988,596/x
  3. Step 3: Cross multiply
    463,674x = 988,596 × 988,596
  4. Step 4: Simplify right side
    463,674x = 977,322,051,216
  5. Step 5: Solve for x
    x = 977,322,051,216/463,674
  6. Step 6: Final answer
    x = 2,107,778.42

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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.