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Finding the Third Proportional to 461,096,954 and 988,092,592

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Solution

The third proportional to 461,096,954 and 988,092,592 is: 2,117,400,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,096,954 : 988,092,592 = 988,092,592 : x
  2. Step 2: Convert to fraction form
    461,096,954/988,092,592 = 988,092,592/x
  3. Step 3: Cross multiply
    461,096,954x = 988,092,592 × 988,092,592
  4. Step 4: Simplify right side
    461,096,954x = 976,326,970,365,278,464
  5. Step 5: Solve for x
    x = 976,326,970,365,278,464/461,096,954
  6. Step 6: Final answer
    x = 2,117,400,607.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.