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Finding the Third Proportional to 629,028 and 1,358,184

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Solution

The third proportional to 629,028 and 1,358,184 is: 2,932,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,028 : 1,358,184 = 1,358,184 : x
  2. Step 2: Convert to fraction form
    629,028/1,358,184 = 1,358,184/x
  3. Step 3: Cross multiply
    629,028x = 1,358,184 × 1,358,184
  4. Step 4: Simplify right side
    629,028x = 1,844,663,777,856
  5. Step 5: Solve for x
    x = 1,844,663,777,856/629,028
  6. Step 6: Final answer
    x = 2,932,562.27

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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.