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Finding the Third Proportional to 536,940,904 and 828,394,372

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Solution

The third proportional to 536,940,904 and 828,394,372 is: 1,278,049,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,940,904 : 828,394,372 = 828,394,372 : x
  2. Step 2: Convert to fraction form
    536,940,904/828,394,372 = 828,394,372/x
  3. Step 3: Cross multiply
    536,940,904x = 828,394,372 × 828,394,372
  4. Step 4: Simplify right side
    536,940,904x = 686,237,235,561,274,368
  5. Step 5: Solve for x
    x = 686,237,235,561,274,368/536,940,904
  6. Step 6: Final answer
    x = 1,278,049,838.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.