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Finding the Third Proportional to 414,916,878 and 846,500,151

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Solution

The third proportional to 414,916,878 and 846,500,151 is: 1,727,002,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,916,878 : 846,500,151 = 846,500,151 : x
  2. Step 2: Convert to fraction form
    414,916,878/846,500,151 = 846,500,151/x
  3. Step 3: Cross multiply
    414,916,878x = 846,500,151 × 846,500,151
  4. Step 4: Simplify right side
    414,916,878x = 716,562,505,643,022,848
  5. Step 5: Solve for x
    x = 716,562,505,643,022,848/414,916,878
  6. Step 6: Final answer
    x = 1,727,002,548.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.