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Finding the Third Proportional to 1,311,085 and 2,852,896

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Solution

The third proportional to 1,311,085 and 2,852,896 is: 6,207,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,085 : 2,852,896 = 2,852,896 : x
  2. Step 2: Convert to fraction form
    1,311,085/2,852,896 = 2,852,896/x
  3. Step 3: Cross multiply
    1,311,085x = 2,852,896 × 2,852,896
  4. Step 4: Simplify right side
    1,311,085x = 8,139,015,586,816
  5. Step 5: Solve for x
    x = 8,139,015,586,816/1,311,085
  6. Step 6: Final answer
    x = 6,207,847.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.