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Finding the Third Proportional to 654,832 and 1,410,424

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Solution

The third proportional to 654,832 and 1,410,424 is: 3,037,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,832 : 1,410,424 = 1,410,424 : x
  2. Step 2: Convert to fraction form
    654,832/1,410,424 = 1,410,424/x
  3. Step 3: Cross multiply
    654,832x = 1,410,424 × 1,410,424
  4. Step 4: Simplify right side
    654,832x = 1,989,295,859,776
  5. Step 5: Solve for x
    x = 1,989,295,859,776/654,832
  6. Step 6: Final answer
    x = 3,037,872.10

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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.