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Finding the Third Proportional to 491,116,635 and 736,494,563

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Solution

The third proportional to 491,116,635 and 736,494,563 is: 1,104,471,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,116,635 : 736,494,563 = 736,494,563 : x
  2. Step 2: Convert to fraction form
    491,116,635/736,494,563 = 736,494,563/x
  3. Step 3: Cross multiply
    491,116,635x = 736,494,563 × 736,494,563
  4. Step 4: Simplify right side
    491,116,635x = 542,424,241,328,560,960
  5. Step 5: Solve for x
    x = 542,424,241,328,560,960/491,116,635
  6. Step 6: Final answer
    x = 1,104,471,326.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.