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Finding the Third Proportional to 689,094,722 and 1,034,146,067

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Solution

The third proportional to 689,094,722 and 1,034,146,067 is: 1,551,975,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,094,722 : 1,034,146,067 = 1,034,146,067 : x
  2. Step 2: Convert to fraction form
    689,094,722/1,034,146,067 = 1,034,146,067/x
  3. Step 3: Cross multiply
    689,094,722x = 1,034,146,067 × 1,034,146,067
  4. Step 4: Simplify right side
    689,094,722x = 1,069,458,087,891,568,512
  5. Step 5: Solve for x
    x = 1,069,458,087,891,568,512/689,094,722
  6. Step 6: Final answer
    x = 1,551,975,445.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.