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Finding the Third Proportional to 378,874 and 829,097

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Solution

The third proportional to 378,874 and 829,097 is: 1,814,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,874 : 829,097 = 829,097 : x
  2. Step 2: Convert to fraction form
    378,874/829,097 = 829,097/x
  3. Step 3: Cross multiply
    378,874x = 829,097 × 829,097
  4. Step 4: Simplify right side
    378,874x = 687,401,835,409
  5. Step 5: Solve for x
    x = 687,401,835,409/378,874
  6. Step 6: Final answer
    x = 1,814,328.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.