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Finding the Third Proportional to 534,574.69 and 1,163,256.19

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Solution

The third proportional to 534,574.69 and 1,163,256.19 is: 2,531,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,574.69 : 1,163,256.19 = 1,163,256.19 : x
  2. Step 2: Convert to fraction form
    534,574.69/1,163,256.19 = 1,163,256.19/x
  3. Step 3: Cross multiply
    534,574.69x = 1,163,256.19 × 1,163,256.19
  4. Step 4: Simplify right side
    534,574.69x = 1,353,164,957,757.04
  5. Step 5: Solve for x
    x = 1,353,164,957,757.04/534,574.69
  6. Step 6: Final answer
    x = 2,531,292.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.