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Finding the Third Proportional to 2,687,846 and 4,161,774

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Solution

The third proportional to 2,687,846 and 4,161,774 is: 6,443,956.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687,846 : 4,161,774 = 4,161,774 : x
  2. Step 2: Convert to fraction form
    2,687,846/4,161,774 = 4,161,774/x
  3. Step 3: Cross multiply
    2,687,846x = 4,161,774 × 4,161,774
  4. Step 4: Simplify right side
    2,687,846x = 17,320,362,827,076
  5. Step 5: Solve for x
    x = 17,320,362,827,076/2,687,846
  6. Step 6: Final answer
    x = 6,443,956.55

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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.