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Finding the Third Proportional to 663,212.81 and 1,432,317.94

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Solution

The third proportional to 663,212.81 and 1,432,317.94 is: 3,093,327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,212.81 : 1,432,317.94 = 1,432,317.94 : x
  2. Step 2: Convert to fraction form
    663,212.81/1,432,317.94 = 1,432,317.94/x
  3. Step 3: Cross multiply
    663,212.81x = 1,432,317.94 × 1,432,317.94
  4. Step 4: Simplify right side
    663,212.81x = 2,051,534,674,084.25
  5. Step 5: Solve for x
    x = 2,051,534,674,084.25/663,212.81
  6. Step 6: Final answer
    x = 3,093,327.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.