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Finding the Third Proportional to 1,605,305.25 and 2,201,271.75

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Solution

The third proportional to 1,605,305.25 and 2,201,271.75 is: 3,018,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,305.25 : 2,201,271.75 = 2,201,271.75 : x
  2. Step 2: Convert to fraction form
    1,605,305.25/2,201,271.75 = 2,201,271.75/x
  3. Step 3: Cross multiply
    1,605,305.25x = 2,201,271.75 × 2,201,271.75
  4. Step 4: Simplify right side
    1,605,305.25x = 4,845,597,317,348.06
  5. Step 5: Solve for x
    x = 4,845,597,317,348.06/1,605,305.25
  6. Step 6: Final answer
    x = 3,018,489.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.