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Finding the Third Proportional to 1,348,064 and 2,932,324

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Solution

The third proportional to 1,348,064 and 2,932,324 is: 6,378,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348,064 : 2,932,324 = 2,932,324 : x
  2. Step 2: Convert to fraction form
    1,348,064/2,932,324 = 2,932,324/x
  3. Step 3: Cross multiply
    1,348,064x = 2,932,324 × 2,932,324
  4. Step 4: Simplify right side
    1,348,064x = 8,598,524,040,976
  5. Step 5: Solve for x
    x = 8,598,524,040,976/1,348,064
  6. Step 6: Final answer
    x = 6,378,424.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.