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Finding the Third Proportional to 1,912,145.63 and 4,107,313.69

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Solution

The third proportional to 1,912,145.63 and 4,107,313.69 is: 8,822,563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912,145.63 : 4,107,313.69 = 4,107,313.69 : x
  2. Step 2: Convert to fraction form
    1,912,145.63/4,107,313.69 = 4,107,313.69/x
  3. Step 3: Cross multiply
    1,912,145.63x = 4,107,313.69 × 4,107,313.69
  4. Step 4: Simplify right side
    1,912,145.63x = 16,870,025,727,524.85
  5. Step 5: Solve for x
    x = 16,870,025,727,524.85/1,912,145.63
  6. Step 6: Final answer
    x = 8,822,563.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.