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Finding the Third Proportional to 733,968 and 1,033,560

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Solution

The third proportional to 733,968 and 1,033,560 is: 1,455,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,968 : 1,033,560 = 1,033,560 : x
  2. Step 2: Convert to fraction form
    733,968/1,033,560 = 1,033,560/x
  3. Step 3: Cross multiply
    733,968x = 1,033,560 × 1,033,560
  4. Step 4: Simplify right side
    733,968x = 1,068,246,273,600
  5. Step 5: Solve for x
    x = 1,068,246,273,600/733,968
  6. Step 6: Final answer
    x = 1,455,439.85

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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.