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Finding the Third Proportional to 2,414,455 and 5,116,774

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Solution

The third proportional to 2,414,455 and 5,116,774 is: 10,843,596.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,455 : 5,116,774 = 5,116,774 : x
  2. Step 2: Convert to fraction form
    2,414,455/5,116,774 = 5,116,774/x
  3. Step 3: Cross multiply
    2,414,455x = 5,116,774 × 5,116,774
  4. Step 4: Simplify right side
    2,414,455x = 26,181,376,167,076
  5. Step 5: Solve for x
    x = 26,181,376,167,076/2,414,455
  6. Step 6: Final answer
    x = 10,843,596.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.