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Finding the Third Proportional to 773,024 and 1,168,009

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Solution

The third proportional to 773,024 and 1,168,009 is: 1,764,815.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,024 : 1,168,009 = 1,168,009 : x
  2. Step 2: Convert to fraction form
    773,024/1,168,009 = 1,168,009/x
  3. Step 3: Cross multiply
    773,024x = 1,168,009 × 1,168,009
  4. Step 4: Simplify right side
    773,024x = 1,364,245,024,081
  5. Step 5: Solve for x
    x = 1,364,245,024,081/773,024
  6. Step 6: Final answer
    x = 1,764,815.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.