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Finding the Third Proportional to 643,186 and 945,509

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Solution

The third proportional to 643,186 and 945,509 is: 1,389,935.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,186 : 945,509 = 945,509 : x
  2. Step 2: Convert to fraction form
    643,186/945,509 = 945,509/x
  3. Step 3: Cross multiply
    643,186x = 945,509 × 945,509
  4. Step 4: Simplify right side
    643,186x = 893,987,269,081
  5. Step 5: Solve for x
    x = 893,987,269,081/643,186
  6. Step 6: Final answer
    x = 1,389,935.83

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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.