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Finding the Third Proportional to 494,051,410.13 and 1,039,052,220.19

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Solution

The third proportional to 494,051,410.13 and 1,039,052,220.19 is: 2,185,257,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,051,410.13 : 1,039,052,220.19 = 1,039,052,220.19 : x
  2. Step 2: Convert to fraction form
    494,051,410.13/1,039,052,220.19 = 1,039,052,220.19/x
  3. Step 3: Cross multiply
    494,051,410.13x = 1,039,052,220.19 × 1,039,052,220.19
  4. Step 4: Simplify right side
    494,051,410.13x = 1,079,629,516,276,572,928
  5. Step 5: Solve for x
    x = 1,079,629,516,276,572,928/494,051,410.13
  6. Step 6: Final answer
    x = 2,185,257,433.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.