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Finding the Third Proportional to 633,890.81 and 1,409,511.38

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Solution

The third proportional to 633,890.81 and 1,409,511.38 is: 3,134,171.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,890.81 : 1,409,511.38 = 1,409,511.38 : x
  2. Step 2: Convert to fraction form
    633,890.81/1,409,511.38 = 1,409,511.38/x
  3. Step 3: Cross multiply
    633,890.81x = 1,409,511.38 × 1,409,511.38
  4. Step 4: Simplify right side
    633,890.81x = 1,986,722,316,254.39
  5. Step 5: Solve for x
    x = 1,986,722,316,254.39/633,890.81
  6. Step 6: Final answer
    x = 3,134,171.18

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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.