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Finding the Third Proportional to 996,355.69 and 1,586,170.69

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Solution

The third proportional to 996,355.69 and 1,586,170.69 is: 2,525,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,355.69 : 1,586,170.69 = 1,586,170.69 : x
  2. Step 2: Convert to fraction form
    996,355.69/1,586,170.69 = 1,586,170.69/x
  3. Step 3: Cross multiply
    996,355.69x = 1,586,170.69 × 1,586,170.69
  4. Step 4: Simplify right side
    996,355.69x = 2,515,937,449,884.22
  5. Step 5: Solve for x
    x = 2,515,937,449,884.22/996,355.69
  6. Step 6: Final answer
    x = 2,525,139.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.