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Finding the Third Proportional to 702,546 and 1,515,684

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Solution

The third proportional to 702,546 and 1,515,684 is: 3,269,960.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,546 : 1,515,684 = 1,515,684 : x
  2. Step 2: Convert to fraction form
    702,546/1,515,684 = 1,515,684/x
  3. Step 3: Cross multiply
    702,546x = 1,515,684 × 1,515,684
  4. Step 4: Simplify right side
    702,546x = 2,297,297,987,856
  5. Step 5: Solve for x
    x = 2,297,297,987,856/702,546
  6. Step 6: Final answer
    x = 3,269,960.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.