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Finding the Third Proportional to 3,870,456 and 5,413,478

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Solution

The third proportional to 3,870,456 and 5,413,478 is: 7,571,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870,456 : 5,413,478 = 5,413,478 : x
  2. Step 2: Convert to fraction form
    3,870,456/5,413,478 = 5,413,478/x
  3. Step 3: Cross multiply
    3,870,456x = 5,413,478 × 5,413,478
  4. Step 4: Simplify right side
    3,870,456x = 29,305,744,056,484
  5. Step 5: Solve for x
    x = 29,305,744,056,484/3,870,456
  6. Step 6: Final answer
    x = 7,571,651.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.