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Finding the Third Proportional to 1,381,350.38 and 2,989,696.50

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Solution

The third proportional to 1,381,350.38 and 2,989,696.50 is: 6,470,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,350.38 : 2,989,696.50 = 2,989,696.50 : x
  2. Step 2: Convert to fraction form
    1,381,350.38/2,989,696.50 = 2,989,696.50/x
  3. Step 3: Cross multiply
    1,381,350.38x = 2,989,696.50 × 2,989,696.50
  4. Step 4: Simplify right side
    1,381,350.38x = 8,938,285,162,112.25
  5. Step 5: Solve for x
    x = 8,938,285,162,112.25/1,381,350.38
  6. Step 6: Final answer
    x = 6,470,686.46

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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.