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Finding the Third Proportional to 631,836 and 1,364,832

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Solution

The third proportional to 631,836 and 1,364,832 is: 2,948,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,836 : 1,364,832 = 1,364,832 : x
  2. Step 2: Convert to fraction form
    631,836/1,364,832 = 1,364,832/x
  3. Step 3: Cross multiply
    631,836x = 1,364,832 × 1,364,832
  4. Step 4: Simplify right side
    631,836x = 1,862,766,388,224
  5. Step 5: Solve for x
    x = 1,862,766,388,224/631,836
  6. Step 6: Final answer
    x = 2,948,180.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.