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Finding the Third Proportional to 1,519,344 and 3,242,083.50

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Solution

The third proportional to 1,519,344 and 3,242,083.50 is: 6,918,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519,344 : 3,242,083.50 = 3,242,083.50 : x
  2. Step 2: Convert to fraction form
    1,519,344/3,242,083.50 = 3,242,083.50/x
  3. Step 3: Cross multiply
    1,519,344x = 3,242,083.50 × 3,242,083.50
  4. Step 4: Simplify right side
    1,519,344x = 10,511,105,420,972.25
  5. Step 5: Solve for x
    x = 10,511,105,420,972.25/1,519,344
  6. Step 6: Final answer
    x = 6,918,186.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.