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Finding the Third Proportional to 590,453,446 and 1,268,531,774

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Solution

The third proportional to 590,453,446 and 1,268,531,774 is: 2,725,317,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,453,446 : 1,268,531,774 = 1,268,531,774 : x
  2. Step 2: Convert to fraction form
    590,453,446/1,268,531,774 = 1,268,531,774/x
  3. Step 3: Cross multiply
    590,453,446x = 1,268,531,774 × 1,268,531,774
  4. Step 4: Simplify right side
    590,453,446x = 1,609,172,861,647,587,072
  5. Step 5: Solve for x
    x = 1,609,172,861,647,587,072/590,453,446
  6. Step 6: Final answer
    x = 2,725,317,080.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.