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Finding the Third Proportional to 907,424 and 1,392,864

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Solution

The third proportional to 907,424 and 1,392,864 is: 2,137,997.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,424 : 1,392,864 = 1,392,864 : x
  2. Step 2: Convert to fraction form
    907,424/1,392,864 = 1,392,864/x
  3. Step 3: Cross multiply
    907,424x = 1,392,864 × 1,392,864
  4. Step 4: Simplify right side
    907,424x = 1,940,070,122,496
  5. Step 5: Solve for x
    x = 1,940,070,122,496/907,424
  6. Step 6: Final answer
    x = 2,137,997.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.