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Finding the Third Proportional to 777,367 and 1,682,066

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Solution

The third proportional to 777,367 and 1,682,066 is: 3,639,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,367 : 1,682,066 = 1,682,066 : x
  2. Step 2: Convert to fraction form
    777,367/1,682,066 = 1,682,066/x
  3. Step 3: Cross multiply
    777,367x = 1,682,066 × 1,682,066
  4. Step 4: Simplify right side
    777,367x = 2,829,346,028,356
  5. Step 5: Solve for x
    x = 2,829,346,028,356/777,367
  6. Step 6: Final answer
    x = 3,639,652.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.