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Finding the Third Proportional to 643,212 and 945,546

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Solution

The third proportional to 643,212 and 945,546 is: 1,389,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,212 : 945,546 = 945,546 : x
  2. Step 2: Convert to fraction form
    643,212/945,546 = 945,546/x
  3. Step 3: Cross multiply
    643,212x = 945,546 × 945,546
  4. Step 4: Simplify right side
    643,212x = 894,057,238,116
  5. Step 5: Solve for x
    x = 894,057,238,116/643,212
  6. Step 6: Final answer
    x = 1,389,988.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.