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Finding the Third Proportional to 633,717.42 and 1,409,122.83

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Solution

The third proportional to 633,717.42 and 1,409,122.83 is: 3,133,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,717.42 : 1,409,122.83 = 1,409,122.83 : x
  2. Step 2: Convert to fraction form
    633,717.42/1,409,122.83 = 1,409,122.83/x
  3. Step 3: Cross multiply
    633,717.42x = 1,409,122.83 × 1,409,122.83
  4. Step 4: Simplify right side
    633,717.42x = 1,985,627,144,743.00
  5. Step 5: Solve for x
    x = 1,985,627,144,743.00/633,717.42
  6. Step 6: Final answer
    x = 3,133,300.55

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.