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Finding the Third Proportional to 1,588,619.25 and 2,424,495.38

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Solution

The third proportional to 1,588,619.25 and 2,424,495.38 is: 3,700,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588,619.25 : 2,424,495.38 = 2,424,495.38 : x
  2. Step 2: Convert to fraction form
    1,588,619.25/2,424,495.38 = 2,424,495.38/x
  3. Step 3: Cross multiply
    1,588,619.25x = 2,424,495.38 × 2,424,495.38
  4. Step 4: Simplify right side
    1,588,619.25x = 5,878,177,823,396.39
  5. Step 5: Solve for x
    x = 5,878,177,823,396.39/1,588,619.25
  6. Step 6: Final answer
    x = 3,700,180.41

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.