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Finding the Third Proportional to 633,483 and 1,365,984

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Solution

The third proportional to 633,483 and 1,365,984 is: 2,945,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,483 : 1,365,984 = 1,365,984 : x
  2. Step 2: Convert to fraction form
    633,483/1,365,984 = 1,365,984/x
  3. Step 3: Cross multiply
    633,483x = 1,365,984 × 1,365,984
  4. Step 4: Simplify right side
    633,483x = 1,865,912,288,256
  5. Step 5: Solve for x
    x = 1,865,912,288,256/633,483
  6. Step 6: Final answer
    x = 2,945,481.23

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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.