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Finding the Third Proportional to 631,441 and 1,395,772

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Solution

The third proportional to 631,441 and 1,395,772 is: 3,085,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,441 : 1,395,772 = 1,395,772 : x
  2. Step 2: Convert to fraction form
    631,441/1,395,772 = 1,395,772/x
  3. Step 3: Cross multiply
    631,441x = 1,395,772 × 1,395,772
  4. Step 4: Simplify right side
    631,441x = 1,948,179,475,984
  5. Step 5: Solve for x
    x = 1,948,179,475,984/631,441
  6. Step 6: Final answer
    x = 3,085,291.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.