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Finding the Third Proportional to 705,972 and 1,080,159

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Solution

The third proportional to 705,972 and 1,080,159 is: 1,652,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,972 : 1,080,159 = 1,080,159 : x
  2. Step 2: Convert to fraction form
    705,972/1,080,159 = 1,080,159/x
  3. Step 3: Cross multiply
    705,972x = 1,080,159 × 1,080,159
  4. Step 4: Simplify right side
    705,972x = 1,166,743,465,281
  5. Step 5: Solve for x
    x = 1,166,743,465,281/705,972
  6. Step 6: Final answer
    x = 1,652,676.69

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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.