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Finding the Third Proportional to 419,511,636 and 635,093,784

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Solution

The third proportional to 419,511,636 and 635,093,784 is: 961,461,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,511,636 : 635,093,784 = 635,093,784 : x
  2. Step 2: Convert to fraction form
    419,511,636/635,093,784 = 635,093,784/x
  3. Step 3: Cross multiply
    419,511,636x = 635,093,784 × 635,093,784
  4. Step 4: Simplify right side
    419,511,636x = 403,344,114,475,438,656
  5. Step 5: Solve for x
    x = 403,344,114,475,438,656/419,511,636
  6. Step 6: Final answer
    x = 961,461,089.19

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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.