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Finding the Third Proportional to 816,548 and 1,731,926

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Solution

The third proportional to 816,548 and 1,731,926 is: 3,673,473.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,548 : 1,731,926 = 1,731,926 : x
  2. Step 2: Convert to fraction form
    816,548/1,731,926 = 1,731,926/x
  3. Step 3: Cross multiply
    816,548x = 1,731,926 × 1,731,926
  4. Step 4: Simplify right side
    816,548x = 2,999,567,669,476
  5. Step 5: Solve for x
    x = 2,999,567,669,476/816,548
  6. Step 6: Final answer
    x = 3,673,473.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.