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Finding the Third Proportional to 2,934,292 and 6,428,456

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Solution

The third proportional to 2,934,292 and 6,428,456 is: 14,083,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934,292 : 6,428,456 = 6,428,456 : x
  2. Step 2: Convert to fraction form
    2,934,292/6,428,456 = 6,428,456/x
  3. Step 3: Cross multiply
    2,934,292x = 6,428,456 × 6,428,456
  4. Step 4: Simplify right side
    2,934,292x = 41,325,046,543,936
  5. Step 5: Solve for x
    x = 41,325,046,543,936/2,934,292
  6. Step 6: Final answer
    x = 14,083,481.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.