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Finding the Third Proportional to 804,201.75 and 1,225,170

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Solution

The third proportional to 804,201.75 and 1,225,170 is: 1,866,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,201.75 : 1,225,170 = 1,225,170 : x
  2. Step 2: Convert to fraction form
    804,201.75/1,225,170 = 1,225,170/x
  3. Step 3: Cross multiply
    804,201.75x = 1,225,170 × 1,225,170
  4. Step 4: Simplify right side
    804,201.75x = 1,501,041,528,900
  5. Step 5: Solve for x
    x = 1,501,041,528,900/804,201.75
  6. Step 6: Final answer
    x = 1,866,498.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.