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Finding the Third Proportional to 800,102 and 1,749,580

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Solution

The third proportional to 800,102 and 1,749,580 is: 3,825,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,102 : 1,749,580 = 1,749,580 : x
  2. Step 2: Convert to fraction form
    800,102/1,749,580 = 1,749,580/x
  3. Step 3: Cross multiply
    800,102x = 1,749,580 × 1,749,580
  4. Step 4: Simplify right side
    800,102x = 3,061,030,176,400
  5. Step 5: Solve for x
    x = 3,061,030,176,400/800,102
  6. Step 6: Final answer
    x = 3,825,799.93

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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.