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Finding the Third Proportional to 501,577,296 and 1,086,856,596

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Solution

The third proportional to 501,577,296 and 1,086,856,596 is: 2,355,085,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,577,296 : 1,086,856,596 = 1,086,856,596 : x
  2. Step 2: Convert to fraction form
    501,577,296/1,086,856,596 = 1,086,856,596/x
  3. Step 3: Cross multiply
    501,577,296x = 1,086,856,596 × 1,086,856,596
  4. Step 4: Simplify right side
    501,577,296x = 1,181,257,260,268,707,328
  5. Step 5: Solve for x
    x = 1,181,257,260,268,707,328/501,577,296
  6. Step 6: Final answer
    x = 2,355,085,187.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.