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Finding the Third Proportional to 851,380 and 1,818,427

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Solution

The third proportional to 851,380 and 1,818,427 is: 3,883,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,380 : 1,818,427 = 1,818,427 : x
  2. Step 2: Convert to fraction form
    851,380/1,818,427 = 1,818,427/x
  3. Step 3: Cross multiply
    851,380x = 1,818,427 × 1,818,427
  4. Step 4: Simplify right side
    851,380x = 3,306,676,754,329
  5. Step 5: Solve for x
    x = 3,306,676,754,329/851,380
  6. Step 6: Final answer
    x = 3,883,902.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.