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Finding the Third Proportional to 1,683,824 and 2,567,760

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Solution

The third proportional to 1,683,824 and 2,567,760 is: 3,915,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,824 : 2,567,760 = 2,567,760 : x
  2. Step 2: Convert to fraction form
    1,683,824/2,567,760 = 2,567,760/x
  3. Step 3: Cross multiply
    1,683,824x = 2,567,760 × 2,567,760
  4. Step 4: Simplify right side
    1,683,824x = 6,593,391,417,600
  5. Step 5: Solve for x
    x = 6,593,391,417,600/1,683,824
  6. Step 6: Final answer
    x = 3,915,724.81

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.