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Finding the Third Proportional to 1,770,391.69 and 2,597,487.75

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Solution

The third proportional to 1,770,391.69 and 2,597,487.75 is: 3,810,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,391.69 : 2,597,487.75 = 2,597,487.75 : x
  2. Step 2: Convert to fraction form
    1,770,391.69/2,597,487.75 = 2,597,487.75/x
  3. Step 3: Cross multiply
    1,770,391.69x = 2,597,487.75 × 2,597,487.75
  4. Step 4: Simplify right side
    1,770,391.69x = 6,746,942,611,400.06
  5. Step 5: Solve for x
    x = 6,746,942,611,400.06/1,770,391.69
  6. Step 6: Final answer
    x = 3,810,988.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.