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Finding the Third Proportional to 852,975 and 1,838,142

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Solution

The third proportional to 852,975 and 1,838,142 is: 3,961,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,975 : 1,838,142 = 1,838,142 : x
  2. Step 2: Convert to fraction form
    852,975/1,838,142 = 1,838,142/x
  3. Step 3: Cross multiply
    852,975x = 1,838,142 × 1,838,142
  4. Step 4: Simplify right side
    852,975x = 3,378,766,012,164
  5. Step 5: Solve for x
    x = 3,378,766,012,164/852,975
  6. Step 6: Final answer
    x = 3,961,154.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.