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Finding the Third Proportional to 828,584 and 1,815,259

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Solution

The third proportional to 828,584 and 1,815,259 is: 3,976,863.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,584 : 1,815,259 = 1,815,259 : x
  2. Step 2: Convert to fraction form
    828,584/1,815,259 = 1,815,259/x
  3. Step 3: Cross multiply
    828,584x = 1,815,259 × 1,815,259
  4. Step 4: Simplify right side
    828,584x = 3,295,165,237,081
  5. Step 5: Solve for x
    x = 3,295,165,237,081/828,584
  6. Step 6: Final answer
    x = 3,976,863.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.