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Finding the Third Proportional to 705,984 and 1,080,177

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Solution

The third proportional to 705,984 and 1,080,177 is: 1,652,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,984 : 1,080,177 = 1,080,177 : x
  2. Step 2: Convert to fraction form
    705,984/1,080,177 = 1,080,177/x
  3. Step 3: Cross multiply
    705,984x = 1,080,177 × 1,080,177
  4. Step 4: Simplify right side
    705,984x = 1,166,782,351,329
  5. Step 5: Solve for x
    x = 1,166,782,351,329/705,984
  6. Step 6: Final answer
    x = 1,652,703.68

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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.