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Finding the Third Proportional to 587,692.13 and 1,273,199.34

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Solution

The third proportional to 587,692.13 and 1,273,199.34 is: 2,758,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,692.13 : 1,273,199.34 = 1,273,199.34 : x
  2. Step 2: Convert to fraction form
    587,692.13/1,273,199.34 = 1,273,199.34/x
  3. Step 3: Cross multiply
    587,692.13x = 1,273,199.34 × 1,273,199.34
  4. Step 4: Simplify right side
    587,692.13x = 1,621,036,568,925.43
  5. Step 5: Solve for x
    x = 1,621,036,568,925.43/587,692.13
  6. Step 6: Final answer
    x = 2,758,309.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.