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Finding the Third Proportional to 733,984 and 1,072,652

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Solution

The third proportional to 733,984 and 1,072,652 is: 1,567,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,984 : 1,072,652 = 1,072,652 : x
  2. Step 2: Convert to fraction form
    733,984/1,072,652 = 1,072,652/x
  3. Step 3: Cross multiply
    733,984x = 1,072,652 × 1,072,652
  4. Step 4: Simplify right side
    733,984x = 1,150,582,313,104
  5. Step 5: Solve for x
    x = 1,150,582,313,104/733,984
  6. Step 6: Final answer
    x = 1,567,585.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.