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Finding the Third Proportional to 734,008 and 1,033,652

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Solution

The third proportional to 734,008 and 1,033,652 is: 1,455,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,008 : 1,033,652 = 1,033,652 : x
  2. Step 2: Convert to fraction form
    734,008/1,033,652 = 1,033,652/x
  3. Step 3: Cross multiply
    734,008x = 1,033,652 × 1,033,652
  4. Step 4: Simplify right side
    734,008x = 1,068,436,457,104
  5. Step 5: Solve for x
    x = 1,068,436,457,104/734,008
  6. Step 6: Final answer
    x = 1,455,619.64

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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.