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Finding the Third Proportional to 643,072 and 945,366

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Solution

The third proportional to 643,072 and 945,366 is: 1,389,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,072 : 945,366 = 945,366 : x
  2. Step 2: Convert to fraction form
    643,072/945,366 = 945,366/x
  3. Step 3: Cross multiply
    643,072x = 945,366 × 945,366
  4. Step 4: Simplify right side
    643,072x = 893,716,873,956
  5. Step 5: Solve for x
    x = 893,716,873,956/643,072
  6. Step 6: Final answer
    x = 1,389,761.76

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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.