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Finding the Third Proportional to 1,163,119.50 and 1,737,708.19

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Solution

The third proportional to 1,163,119.50 and 1,737,708.19 is: 2,596,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,119.50 : 1,737,708.19 = 1,737,708.19 : x
  2. Step 2: Convert to fraction form
    1,163,119.50/1,737,708.19 = 1,737,708.19/x
  3. Step 3: Cross multiply
    1,163,119.50x = 1,737,708.19 × 1,737,708.19
  4. Step 4: Simplify right side
    1,163,119.50x = 3,019,629,744,904.54
  5. Step 5: Solve for x
    x = 3,019,629,744,904.54/1,163,119.50
  6. Step 6: Final answer
    x = 2,596,147.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.