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Finding the Third Proportional to 736,900 and 1,171,769

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Solution

The third proportional to 736,900 and 1,171,769 is: 1,863,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,900 : 1,171,769 = 1,171,769 : x
  2. Step 2: Convert to fraction form
    736,900/1,171,769 = 1,171,769/x
  3. Step 3: Cross multiply
    736,900x = 1,171,769 × 1,171,769
  4. Step 4: Simplify right side
    736,900x = 1,373,042,589,361
  5. Step 5: Solve for x
    x = 1,373,042,589,361/736,900
  6. Step 6: Final answer
    x = 1,863,268.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.