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Finding the Third Proportional to 406,824,925 and 883,002,833

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Solution

The third proportional to 406,824,925 and 883,002,833 is: 1,916,534,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,824,925 : 883,002,833 = 883,002,833 : x
  2. Step 2: Convert to fraction form
    406,824,925/883,002,833 = 883,002,833/x
  3. Step 3: Cross multiply
    406,824,925x = 883,002,833 × 883,002,833
  4. Step 4: Simplify right side
    406,824,925x = 779,694,003,086,025,856
  5. Step 5: Solve for x
    x = 779,694,003,086,025,856/406,824,925
  6. Step 6: Final answer
    x = 1,916,534,497.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.