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Finding the Third Proportional to 715,167 and 1,080,041

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Solution

The third proportional to 715,167 and 1,080,041 is: 1,631,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,167 : 1,080,041 = 1,080,041 : x
  2. Step 2: Convert to fraction form
    715,167/1,080,041 = 1,080,041/x
  3. Step 3: Cross multiply
    715,167x = 1,080,041 × 1,080,041
  4. Step 4: Simplify right side
    715,167x = 1,166,488,561,681
  5. Step 5: Solve for x
    x = 1,166,488,561,681/715,167
  6. Step 6: Final answer
    x = 1,631,071.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.