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Finding the Third Proportional to 679,185 and 1,476,306

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Solution

The third proportional to 679,185 and 1,476,306 is: 3,208,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,185 : 1,476,306 = 1,476,306 : x
  2. Step 2: Convert to fraction form
    679,185/1,476,306 = 1,476,306/x
  3. Step 3: Cross multiply
    679,185x = 1,476,306 × 1,476,306
  4. Step 4: Simplify right side
    679,185x = 2,179,479,405,636
  5. Step 5: Solve for x
    x = 2,179,479,405,636/679,185
  6. Step 6: Final answer
    x = 3,208,962.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.