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Finding the Third Proportional to 734,005 and 1,072,682

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Solution

The third proportional to 734,005 and 1,072,682 is: 1,567,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,005 : 1,072,682 = 1,072,682 : x
  2. Step 2: Convert to fraction form
    734,005/1,072,682 = 1,072,682/x
  3. Step 3: Cross multiply
    734,005x = 1,072,682 × 1,072,682
  4. Step 4: Simplify right side
    734,005x = 1,150,646,673,124
  5. Step 5: Solve for x
    x = 1,150,646,673,124/734,005
  6. Step 6: Final answer
    x = 1,567,627.84

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