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Finding the Third Proportional to 809,118 and 1,165,500

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Solution

The third proportional to 809,118 and 1,165,500 is: 1,678,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,118 : 1,165,500 = 1,165,500 : x
  2. Step 2: Convert to fraction form
    809,118/1,165,500 = 1,165,500/x
  3. Step 3: Cross multiply
    809,118x = 1,165,500 × 1,165,500
  4. Step 4: Simplify right side
    809,118x = 1,358,390,250,000
  5. Step 5: Solve for x
    x = 1,358,390,250,000/809,118
  6. Step 6: Final answer
    x = 1,678,853.08

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.