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Finding the Third Proportional to 1,048,371.38 and 2,293,022.63

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Solution

The third proportional to 1,048,371.38 and 2,293,022.63 is: 5,015,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,371.38 : 2,293,022.63 = 2,293,022.63 : x
  2. Step 2: Convert to fraction form
    1,048,371.38/2,293,022.63 = 2,293,022.63/x
  3. Step 3: Cross multiply
    1,048,371.38x = 2,293,022.63 × 2,293,022.63
  4. Step 4: Simplify right side
    1,048,371.38x = 5,257,952,758,761.89
  5. Step 5: Solve for x
    x = 5,257,952,758,761.89/1,048,371.38
  6. Step 6: Final answer
    x = 5,015,353.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.