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Finding the Third Proportional to 836,206 and 1,834,808

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Solution

The third proportional to 836,206 and 1,834,808 is: 4,025,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,206 : 1,834,808 = 1,834,808 : x
  2. Step 2: Convert to fraction form
    836,206/1,834,808 = 1,834,808/x
  3. Step 3: Cross multiply
    836,206x = 1,834,808 × 1,834,808
  4. Step 4: Simplify right side
    836,206x = 3,366,520,396,864
  5. Step 5: Solve for x
    x = 3,366,520,396,864/836,206
  6. Step 6: Final answer
    x = 4,025,946.23

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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.