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Finding the Third Proportional to 3,134,774 and 4,414,456

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Solution

The third proportional to 3,134,774 and 4,414,456 is: 6,216,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134,774 : 4,414,456 = 4,414,456 : x
  2. Step 2: Convert to fraction form
    3,134,774/4,414,456 = 4,414,456/x
  3. Step 3: Cross multiply
    3,134,774x = 4,414,456 × 4,414,456
  4. Step 4: Simplify right side
    3,134,774x = 19,487,421,775,936
  5. Step 5: Solve for x
    x = 19,487,421,775,936/3,134,774
  6. Step 6: Final answer
    x = 6,216,531.65

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