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Finding the Third Proportional to 715,340 and 1,080,301

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Solution

The third proportional to 715,340 and 1,080,301 is: 1,631,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,340 : 1,080,301 = 1,080,301 : x
  2. Step 2: Convert to fraction form
    715,340/1,080,301 = 1,080,301/x
  3. Step 3: Cross multiply
    715,340x = 1,080,301 × 1,080,301
  4. Step 4: Simplify right side
    715,340x = 1,167,050,250,601
  5. Step 5: Solve for x
    x = 1,167,050,250,601/715,340
  6. Step 6: Final answer
    x = 1,631,462.31

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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.