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Finding the Third Proportional to 843,299 and 1,826,566

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Solution

The third proportional to 843,299 and 1,826,566 is: 3,956,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,299 : 1,826,566 = 1,826,566 : x
  2. Step 2: Convert to fraction form
    843,299/1,826,566 = 1,826,566/x
  3. Step 3: Cross multiply
    843,299x = 1,826,566 × 1,826,566
  4. Step 4: Simplify right side
    843,299x = 3,336,343,352,356
  5. Step 5: Solve for x
    x = 3,336,343,352,356/843,299
  6. Step 6: Final answer
    x = 3,956,299.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.