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Finding the Third Proportional to 679,463 and 1,481,014

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Solution

The third proportional to 679,463 and 1,481,014 is: 3,228,141.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,463 : 1,481,014 = 1,481,014 : x
  2. Step 2: Convert to fraction form
    679,463/1,481,014 = 1,481,014/x
  3. Step 3: Cross multiply
    679,463x = 1,481,014 × 1,481,014
  4. Step 4: Simplify right side
    679,463x = 2,193,402,468,196
  5. Step 5: Solve for x
    x = 2,193,402,468,196/679,463
  6. Step 6: Final answer
    x = 3,228,141.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.