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Finding the Third Proportional to 2,314,861 and 5,077,939

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Solution

The third proportional to 2,314,861 and 5,077,939 is: 11,139,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,861 : 5,077,939 = 5,077,939 : x
  2. Step 2: Convert to fraction form
    2,314,861/5,077,939 = 5,077,939/x
  3. Step 3: Cross multiply
    2,314,861x = 5,077,939 × 5,077,939
  4. Step 4: Simplify right side
    2,314,861x = 25,785,464,487,721
  5. Step 5: Solve for x
    x = 25,785,464,487,721/2,314,861
  6. Step 6: Final answer
    x = 11,139,098.41

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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.