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Finding the Third Proportional to 836,214 and 1,834,833

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Solution

The third proportional to 836,214 and 1,834,833 is: 4,026,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,214 : 1,834,833 = 1,834,833 : x
  2. Step 2: Convert to fraction form
    836,214/1,834,833 = 1,834,833/x
  3. Step 3: Cross multiply
    836,214x = 1,834,833 × 1,834,833
  4. Step 4: Simplify right side
    836,214x = 3,366,612,137,889
  5. Step 5: Solve for x
    x = 3,366,612,137,889/836,214
  6. Step 6: Final answer
    x = 4,026,017.43

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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.