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Finding the Third Proportional to 534,741.75 and 1,161,702

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Solution

The third proportional to 534,741.75 and 1,161,702 is: 2,523,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,741.75 : 1,161,702 = 1,161,702 : x
  2. Step 2: Convert to fraction form
    534,741.75/1,161,702 = 1,161,702/x
  3. Step 3: Cross multiply
    534,741.75x = 1,161,702 × 1,161,702
  4. Step 4: Simplify right side
    534,741.75x = 1,349,551,536,804
  5. Step 5: Solve for x
    x = 1,349,551,536,804/534,741.75
  6. Step 6: Final answer
    x = 2,523,744.47

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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.