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Finding the Third Proportional to 633,231 and 1,332,063

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Solution

The third proportional to 633,231 and 1,332,063 is: 2,802,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,231 : 1,332,063 = 1,332,063 : x
  2. Step 2: Convert to fraction form
    633,231/1,332,063 = 1,332,063/x
  3. Step 3: Cross multiply
    633,231x = 1,332,063 × 1,332,063
  4. Step 4: Simplify right side
    633,231x = 1,774,391,835,969
  5. Step 5: Solve for x
    x = 1,774,391,835,969/633,231
  6. Step 6: Final answer
    x = 2,802,124.08

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