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Finding the Third Proportional to 722,049,034 and 1,100,003,343

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Solution

The third proportional to 722,049,034 and 1,100,003,343 is: 1,675,796,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,049,034 : 1,100,003,343 = 1,100,003,343 : x
  2. Step 2: Convert to fraction form
    722,049,034/1,100,003,343 = 1,100,003,343/x
  3. Step 3: Cross multiply
    722,049,034x = 1,100,003,343 × 1,100,003,343
  4. Step 4: Simplify right side
    722,049,034x = 1,210,007,354,611,175,680
  5. Step 5: Solve for x
    x = 1,210,007,354,611,175,680/722,049,034
  6. Step 6: Final answer
    x = 1,675,796,653.18

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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.