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Finding the Third Proportional to 1,022,058 and 1,388,638.69

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Solution

The third proportional to 1,022,058 and 1,388,638.69 is: 1,886,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,058 : 1,388,638.69 = 1,388,638.69 : x
  2. Step 2: Convert to fraction form
    1,022,058/1,388,638.69 = 1,388,638.69/x
  3. Step 3: Cross multiply
    1,022,058x = 1,388,638.69 × 1,388,638.69
  4. Step 4: Simplify right side
    1,022,058x = 1,928,317,404,421.72
  5. Step 5: Solve for x
    x = 1,928,317,404,421.72/1,022,058
  6. Step 6: Final answer
    x = 1,886,700.56

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.