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Finding the Third Proportional to 836,213 and 1,834,831

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Solution

The third proportional to 836,213 and 1,834,831 is: 4,026,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,213 : 1,834,831 = 1,834,831 : x
  2. Step 2: Convert to fraction form
    836,213/1,834,831 = 1,834,831/x
  3. Step 3: Cross multiply
    836,213x = 1,834,831 × 1,834,831
  4. Step 4: Simplify right side
    836,213x = 3,366,604,798,561
  5. Step 5: Solve for x
    x = 3,366,604,798,561/836,213
  6. Step 6: Final answer
    x = 4,026,013.47

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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.