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Finding the Third Proportional to 677,475 and 1,471,947.75

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Solution

The third proportional to 677,475 and 1,471,947.75 is: 3,198,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,475 : 1,471,947.75 = 1,471,947.75 : x
  2. Step 2: Convert to fraction form
    677,475/1,471,947.75 = 1,471,947.75/x
  3. Step 3: Cross multiply
    677,475x = 1,471,947.75 × 1,471,947.75
  4. Step 4: Simplify right side
    677,475x = 2,166,630,178,730.06
  5. Step 5: Solve for x
    x = 2,166,630,178,730.06/677,475
  6. Step 6: Final answer
    x = 3,198,096.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.