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Finding the Third Proportional to 406,824,921 and 883,002,825

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Solution

The third proportional to 406,824,921 and 883,002,825 is: 1,916,534,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,824,921 : 883,002,825 = 883,002,825 : x
  2. Step 2: Convert to fraction form
    406,824,921/883,002,825 = 883,002,825/x
  3. Step 3: Cross multiply
    406,824,921x = 883,002,825 × 883,002,825
  4. Step 4: Simplify right side
    406,824,921x = 779,693,988,957,980,672
  5. Step 5: Solve for x
    x = 779,693,988,957,980,672/406,824,921
  6. Step 6: Final answer
    x = 1,916,534,481.32

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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.