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Finding the Third Proportional to 419,261,593 and 908,396,052

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Solution

The third proportional to 419,261,593 and 908,396,052 is: 1,968,182,636.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,261,593 : 908,396,052 = 908,396,052 : x
  2. Step 2: Convert to fraction form
    419,261,593/908,396,052 = 908,396,052/x
  3. Step 3: Cross multiply
    419,261,593x = 908,396,052 × 908,396,052
  4. Step 4: Simplify right side
    419,261,593x = 825,183,387,289,186,688
  5. Step 5: Solve for x
    x = 825,183,387,289,186,688/419,261,593
  6. Step 6: Final answer
    x = 1,968,182,636.01

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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.