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Finding the Third Proportional to 419,495,652 and 635,072,454

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Solution

The third proportional to 419,495,652 and 635,072,454 is: 961,433,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,495,652 : 635,072,454 = 635,072,454 : x
  2. Step 2: Convert to fraction form
    419,495,652/635,072,454 = 635,072,454/x
  3. Step 3: Cross multiply
    419,495,652x = 635,072,454 × 635,072,454
  4. Step 4: Simplify right side
    419,495,652x = 403,317,021,829,582,144
  5. Step 5: Solve for x
    x = 403,317,021,829,582,144/419,495,652
  6. Step 6: Final answer
    x = 961,433,139.79

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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.