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Finding the Third Proportional to 726,720 and 1,563,936

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Solution

The third proportional to 726,720 and 1,563,936 is: 3,365,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,720 : 1,563,936 = 1,563,936 : x
  2. Step 2: Convert to fraction form
    726,720/1,563,936 = 1,563,936/x
  3. Step 3: Cross multiply
    726,720x = 1,563,936 × 1,563,936
  4. Step 4: Simplify right side
    726,720x = 2,445,895,812,096
  5. Step 5: Solve for x
    x = 2,445,895,812,096/726,720
  6. Step 6: Final answer
    x = 3,365,664.65

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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.