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Finding the Third Proportional to 555,327,819 and 812,549,682.56

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Solution

The third proportional to 555,327,819 and 812,549,682.56 is: 1,188,913,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,327,819 : 812,549,682.56 = 812,549,682.56 : x
  2. Step 2: Convert to fraction form
    555,327,819/812,549,682.56 = 812,549,682.56/x
  3. Step 3: Cross multiply
    555,327,819x = 812,549,682.56 × 812,549,682.56
  4. Step 4: Simplify right side
    555,327,819x = 660,236,986,632,419,456
  5. Step 5: Solve for x
    x = 660,236,986,632,419,456/555,327,819
  6. Step 6: Final answer
    x = 1,188,913,942.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.