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Finding the Third Proportional to 772,684 and 1,181,991

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Solution

The third proportional to 772,684 and 1,181,991 is: 1,808,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,684 : 1,181,991 = 1,181,991 : x
  2. Step 2: Convert to fraction form
    772,684/1,181,991 = 1,181,991/x
  3. Step 3: Cross multiply
    772,684x = 1,181,991 × 1,181,991
  4. Step 4: Simplify right side
    772,684x = 1,397,102,724,081
  5. Step 5: Solve for x
    x = 1,397,102,724,081/772,684
  6. Step 6: Final answer
    x = 1,808,116.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.