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Finding the Third Proportional to 1,478,916 and 3,182,004

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Solution

The third proportional to 1,478,916 and 3,182,004 is: 6,846,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,916 : 3,182,004 = 3,182,004 : x
  2. Step 2: Convert to fraction form
    1,478,916/3,182,004 = 3,182,004/x
  3. Step 3: Cross multiply
    1,478,916x = 3,182,004 × 3,182,004
  4. Step 4: Simplify right side
    1,478,916x = 10,125,149,456,016
  5. Step 5: Solve for x
    x = 10,125,149,456,016/1,478,916
  6. Step 6: Final answer
    x = 6,846,331.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.