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Finding the Third Proportional to 1,477,847 and 3,191,458

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Solution

The third proportional to 1,477,847 and 3,191,458 is: 6,892,055.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,847 : 3,191,458 = 3,191,458 : x
  2. Step 2: Convert to fraction form
    1,477,847/3,191,458 = 3,191,458/x
  3. Step 3: Cross multiply
    1,477,847x = 3,191,458 × 3,191,458
  4. Step 4: Simplify right side
    1,477,847x = 10,185,404,165,764
  5. Step 5: Solve for x
    x = 10,185,404,165,764/1,477,847
  6. Step 6: Final answer
    x = 6,892,055.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.