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Finding the Third Proportional to 1,285,503 and 2,454,366

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Solution

The third proportional to 1,285,503 and 2,454,366 is: 4,686,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,503 : 2,454,366 = 2,454,366 : x
  2. Step 2: Convert to fraction form
    1,285,503/2,454,366 = 2,454,366/x
  3. Step 3: Cross multiply
    1,285,503x = 2,454,366 × 2,454,366
  4. Step 4: Simplify right side
    1,285,503x = 6,023,912,461,956
  5. Step 5: Solve for x
    x = 6,023,912,461,956/1,285,503
  6. Step 6: Final answer
    x = 4,686,035.32

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.