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Finding the Third Proportional to 674,064 and 1,012,824

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Solution

The third proportional to 674,064 and 1,012,824 is: 1,521,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,064 : 1,012,824 = 1,012,824 : x
  2. Step 2: Convert to fraction form
    674,064/1,012,824 = 1,012,824/x
  3. Step 3: Cross multiply
    674,064x = 1,012,824 × 1,012,824
  4. Step 4: Simplify right side
    674,064x = 1,025,812,454,976
  5. Step 5: Solve for x
    x = 1,025,812,454,976/674,064
  6. Step 6: Final answer
    x = 1,521,832.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.