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Finding the Third Proportional to 579,100,819 and 815,501,557

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Solution

The third proportional to 579,100,819 and 815,501,557 is: 1,148,405,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,100,819 : 815,501,557 = 815,501,557 : x
  2. Step 2: Convert to fraction form
    579,100,819/815,501,557 = 815,501,557/x
  3. Step 3: Cross multiply
    579,100,819x = 815,501,557 × 815,501,557
  4. Step 4: Simplify right side
    579,100,819x = 665,042,789,469,424,256
  5. Step 5: Solve for x
    x = 665,042,789,469,424,256/579,100,819
  6. Step 6: Final answer
    x = 1,148,405,886.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.