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Finding the Third Proportional to 2,132,944 and 2,999,832

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Solution

The third proportional to 2,132,944 and 2,999,832 is: 4,219,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132,944 : 2,999,832 = 2,999,832 : x
  2. Step 2: Convert to fraction form
    2,132,944/2,999,832 = 2,999,832/x
  3. Step 3: Cross multiply
    2,132,944x = 2,999,832 × 2,999,832
  4. Step 4: Simplify right side
    2,132,944x = 8,998,992,028,224
  5. Step 5: Solve for x
    x = 8,998,992,028,224/2,132,944
  6. Step 6: Final answer
    x = 4,219,047.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.