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Finding the Third Proportional to 1,381,360.50 and 2,989,716.75

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Solution

The third proportional to 1,381,360.50 and 2,989,716.75 is: 6,470,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,360.50 : 2,989,716.75 = 2,989,716.75 : x
  2. Step 2: Convert to fraction form
    1,381,360.50/2,989,716.75 = 2,989,716.75/x
  3. Step 3: Cross multiply
    1,381,360.50x = 2,989,716.75 × 2,989,716.75
  4. Step 4: Simplify right side
    1,381,360.50x = 8,938,406,245,230.56
  5. Step 5: Solve for x
    x = 8,938,406,245,230.56/1,381,360.50
  6. Step 6: Final answer
    x = 6,470,726.68

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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.