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Finding the Third Proportional to 884,538 and 1,325,416

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Solution

The third proportional to 884,538 and 1,325,416 is: 1,986,039.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,538 : 1,325,416 = 1,325,416 : x
  2. Step 2: Convert to fraction form
    884,538/1,325,416 = 1,325,416/x
  3. Step 3: Cross multiply
    884,538x = 1,325,416 × 1,325,416
  4. Step 4: Simplify right side
    884,538x = 1,756,727,573,056
  5. Step 5: Solve for x
    x = 1,756,727,573,056/884,538
  6. Step 6: Final answer
    x = 1,986,039.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.