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Finding the Third Proportional to 722,049,038 and 1,100,003,349

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Solution

The third proportional to 722,049,038 and 1,100,003,349 is: 1,675,796,662.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,049,038 : 1,100,003,349 = 1,100,003,349 : x
  2. Step 2: Convert to fraction form
    722,049,038/1,100,003,349 = 1,100,003,349/x
  3. Step 3: Cross multiply
    722,049,038x = 1,100,003,349 × 1,100,003,349
  4. Step 4: Simplify right side
    722,049,038x = 1,210,007,367,811,215,872
  5. Step 5: Solve for x
    x = 1,210,007,367,811,215,872/722,049,038
  6. Step 6: Final answer
    x = 1,675,796,662.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.