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Finding the Third Proportional to 525,760 and 1,140,098

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Solution

The third proportional to 525,760 and 1,140,098 is: 2,472,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,760 : 1,140,098 = 1,140,098 : x
  2. Step 2: Convert to fraction form
    525,760/1,140,098 = 1,140,098/x
  3. Step 3: Cross multiply
    525,760x = 1,140,098 × 1,140,098
  4. Step 4: Simplify right side
    525,760x = 1,299,823,449,604
  5. Step 5: Solve for x
    x = 1,299,823,449,604/525,760
  6. Step 6: Final answer
    x = 2,472,275.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.