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Finding the Third Proportional to 715,185 and 1,515,663

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Solution

The third proportional to 715,185 and 1,515,663 is: 3,212,084.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,185 : 1,515,663 = 1,515,663 : x
  2. Step 2: Convert to fraction form
    715,185/1,515,663 = 1,515,663/x
  3. Step 3: Cross multiply
    715,185x = 1,515,663 × 1,515,663
  4. Step 4: Simplify right side
    715,185x = 2,297,234,329,569
  5. Step 5: Solve for x
    x = 2,297,234,329,569/715,185
  6. Step 6: Final answer
    x = 3,212,084.05

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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.