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Finding the Third Proportional to 2,776,410 and 4,194,141.75

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Solution

The third proportional to 2,776,410 and 4,194,141.75 is: 6,335,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776,410 : 4,194,141.75 = 4,194,141.75 : x
  2. Step 2: Convert to fraction form
    2,776,410/4,194,141.75 = 4,194,141.75/x
  3. Step 3: Cross multiply
    2,776,410x = 4,194,141.75 × 4,194,141.75
  4. Step 4: Simplify right side
    2,776,410x = 17,590,825,019,093.06
  5. Step 5: Solve for x
    x = 17,590,825,019,093.06/2,776,410
  6. Step 6: Final answer
    x = 6,335,816.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.