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Finding the Third Proportional to 597,853,992 and 841,543,296

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Solution

The third proportional to 597,853,992 and 841,543,296 is: 1,184,561,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,853,992 : 841,543,296 = 841,543,296 : x
  2. Step 2: Convert to fraction form
    597,853,992/841,543,296 = 841,543,296/x
  3. Step 3: Cross multiply
    597,853,992x = 841,543,296 × 841,543,296
  4. Step 4: Simplify right side
    597,853,992x = 708,195,119,042,543,616
  5. Step 5: Solve for x
    x = 708,195,119,042,543,616/597,853,992
  6. Step 6: Final answer
    x = 1,184,561,997.61

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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.