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Finding the Third Proportional to 633,244 and 1,292,324

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Solution

The third proportional to 633,244 and 1,292,324 is: 2,637,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,244 : 1,292,324 = 1,292,324 : x
  2. Step 2: Convert to fraction form
    633,244/1,292,324 = 1,292,324/x
  3. Step 3: Cross multiply
    633,244x = 1,292,324 × 1,292,324
  4. Step 4: Simplify right side
    633,244x = 1,670,101,320,976
  5. Step 5: Solve for x
    x = 1,670,101,320,976/633,244
  6. Step 6: Final answer
    x = 2,637,374.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.