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Finding the Third Proportional to 529,378,965 and 800,876,970

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Solution

The third proportional to 529,378,965 and 800,876,970 is: 1,211,615,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,378,965 : 800,876,970 = 800,876,970 : x
  2. Step 2: Convert to fraction form
    529,378,965/800,876,970 = 800,876,970/x
  3. Step 3: Cross multiply
    529,378,965x = 800,876,970 × 800,876,970
  4. Step 4: Simplify right side
    529,378,965x = 641,403,921,076,380,928
  5. Step 5: Solve for x
    x = 641,403,921,076,380,928/529,378,965
  6. Step 6: Final answer
    x = 1,211,615,805.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.