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Finding the Third Proportional to 674,656 and 1,449,355

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Solution

The third proportional to 674,656 and 1,449,355 is: 3,113,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,656 : 1,449,355 = 1,449,355 : x
  2. Step 2: Convert to fraction form
    674,656/1,449,355 = 1,449,355/x
  3. Step 3: Cross multiply
    674,656x = 1,449,355 × 1,449,355
  4. Step 4: Simplify right side
    674,656x = 2,100,629,916,025
  5. Step 5: Solve for x
    x = 2,100,629,916,025/674,656
  6. Step 6: Final answer
    x = 3,113,631.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.