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Finding the Third Proportional to 828,586 and 1,815,263

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Solution

The third proportional to 828,586 and 1,815,263 is: 3,976,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,586 : 1,815,263 = 1,815,263 : x
  2. Step 2: Convert to fraction form
    828,586/1,815,263 = 1,815,263/x
  3. Step 3: Cross multiply
    828,586x = 1,815,263 × 1,815,263
  4. Step 4: Simplify right side
    828,586x = 3,295,179,759,169
  5. Step 5: Solve for x
    x = 3,295,179,759,169/828,586
  6. Step 6: Final answer
    x = 3,976,871.15

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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.