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Finding the Third Proportional to 813,441,948 and 1,145,505,512

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Solution

The third proportional to 813,441,948 and 1,145,505,512 is: 1,613,124,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,441,948 : 1,145,505,512 = 1,145,505,512 : x
  2. Step 2: Convert to fraction form
    813,441,948/1,145,505,512 = 1,145,505,512/x
  3. Step 3: Cross multiply
    813,441,948x = 1,145,505,512 × 1,145,505,512
  4. Step 4: Simplify right side
    813,441,948x = 1,312,182,878,022,382,080
  5. Step 5: Solve for x
    x = 1,312,182,878,022,382,080/813,441,948
  6. Step 6: Final answer
    x = 1,613,124,183.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.