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Finding the Third Proportional to 463,713 and 977,238

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Solution

The third proportional to 463,713 and 977,238 is: 2,059,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,713 : 977,238 = 977,238 : x
  2. Step 2: Convert to fraction form
    463,713/977,238 = 977,238/x
  3. Step 3: Cross multiply
    463,713x = 977,238 × 977,238
  4. Step 4: Simplify right side
    463,713x = 954,994,108,644
  5. Step 5: Solve for x
    x = 954,994,108,644/463,713
  6. Step 6: Final answer
    x = 2,059,450.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.