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Finding the Third Proportional to 751,013 and 1,164,997

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Solution

The third proportional to 751,013 and 1,164,997 is: 1,807,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,013 : 1,164,997 = 1,164,997 : x
  2. Step 2: Convert to fraction form
    751,013/1,164,997 = 1,164,997/x
  3. Step 3: Cross multiply
    751,013x = 1,164,997 × 1,164,997
  4. Step 4: Simplify right side
    751,013x = 1,357,218,010,009
  5. Step 5: Solve for x
    x = 1,357,218,010,009/751,013
  6. Step 6: Final answer
    x = 1,807,183.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.