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Finding the Third Proportional to 733,864 and 1,033,440

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Solution

The third proportional to 733,864 and 1,033,440 is: 1,455,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,864 : 1,033,440 = 1,033,440 : x
  2. Step 2: Convert to fraction form
    733,864/1,033,440 = 1,033,440/x
  3. Step 3: Cross multiply
    733,864x = 1,033,440 × 1,033,440
  4. Step 4: Simplify right side
    733,864x = 1,067,998,233,600
  5. Step 5: Solve for x
    x = 1,067,998,233,600/733,864
  6. Step 6: Final answer
    x = 1,455,308.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.