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Finding the Third Proportional to 529,511,529 and 1,154,364,923

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Solution

The third proportional to 529,511,529 and 1,154,364,923 is: 2,516,580,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,511,529 : 1,154,364,923 = 1,154,364,923 : x
  2. Step 2: Convert to fraction form
    529,511,529/1,154,364,923 = 1,154,364,923/x
  3. Step 3: Cross multiply
    529,511,529x = 1,154,364,923 × 1,154,364,923
  4. Step 4: Simplify right side
    529,511,529x = 1,332,558,375,452,795,904
  5. Step 5: Solve for x
    x = 1,332,558,375,452,795,904/529,511,529
  6. Step 6: Final answer
    x = 2,516,580,475.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.