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Finding the Third Proportional to 852,864 and 1,766,112

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Solution

The third proportional to 852,864 and 1,766,112 is: 3,657,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,864 : 1,766,112 = 1,766,112 : x
  2. Step 2: Convert to fraction form
    852,864/1,766,112 = 1,766,112/x
  3. Step 3: Cross multiply
    852,864x = 1,766,112 × 1,766,112
  4. Step 4: Simplify right side
    852,864x = 3,119,151,596,544
  5. Step 5: Solve for x
    x = 3,119,151,596,544/852,864
  6. Step 6: Final answer
    x = 3,657,267.27

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.