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Finding the Third Proportional to 715,184 and 1,515,661

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Solution

The third proportional to 715,184 and 1,515,661 is: 3,212,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,184 : 1,515,661 = 1,515,661 : x
  2. Step 2: Convert to fraction form
    715,184/1,515,661 = 1,515,661/x
  3. Step 3: Cross multiply
    715,184x = 1,515,661 × 1,515,661
  4. Step 4: Simplify right side
    715,184x = 2,297,228,266,921
  5. Step 5: Solve for x
    x = 2,297,228,266,921/715,184
  6. Step 6: Final answer
    x = 3,212,080.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.