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Finding the Third Proportional to 633,219 and 1,332,039

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Solution

The third proportional to 633,219 and 1,332,039 is: 2,802,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,219 : 1,332,039 = 1,332,039 : x
  2. Step 2: Convert to fraction form
    633,219/1,332,039 = 1,332,039/x
  3. Step 3: Cross multiply
    633,219x = 1,332,039 × 1,332,039
  4. Step 4: Simplify right side
    633,219x = 1,774,327,897,521
  5. Step 5: Solve for x
    x = 1,774,327,897,521/633,219
  6. Step 6: Final answer
    x = 2,802,076.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.