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Finding the Third Proportional to 911,007 and 1,999,161

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Solution

The third proportional to 911,007 and 1,999,161 is: 4,387,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,007 : 1,999,161 = 1,999,161 : x
  2. Step 2: Convert to fraction form
    911,007/1,999,161 = 1,999,161/x
  3. Step 3: Cross multiply
    911,007x = 1,999,161 × 1,999,161
  4. Step 4: Simplify right side
    911,007x = 3,996,644,703,921
  5. Step 5: Solve for x
    x = 3,996,644,703,921/911,007
  6. Step 6: Final answer
    x = 4,387,062.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.