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Finding the Third Proportional to 534,912 and 1,174,792

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Solution

The third proportional to 534,912 and 1,174,792 is: 2,580,118.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,912 : 1,174,792 = 1,174,792 : x
  2. Step 2: Convert to fraction form
    534,912/1,174,792 = 1,174,792/x
  3. Step 3: Cross multiply
    534,912x = 1,174,792 × 1,174,792
  4. Step 4: Simplify right side
    534,912x = 1,380,136,243,264
  5. Step 5: Solve for x
    x = 1,380,136,243,264/534,912
  6. Step 6: Final answer
    x = 2,580,118.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.