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Finding the Third Proportional to 2,314,934 and 5,078,078

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Solution

The third proportional to 2,314,934 and 5,078,078 is: 11,139,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314,934 : 5,078,078 = 5,078,078 : x
  2. Step 2: Convert to fraction form
    2,314,934/5,078,078 = 5,078,078/x
  3. Step 3: Cross multiply
    2,314,934x = 5,078,078 × 5,078,078
  4. Step 4: Simplify right side
    2,314,934x = 25,786,876,174,084
  5. Step 5: Solve for x
    x = 25,786,876,174,084/2,314,934
  6. Step 6: Final answer
    x = 11,139,356.96

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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.