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Finding the Third Proportional to 705,961 and 1,080,143

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Solution

The third proportional to 705,961 and 1,080,143 is: 1,652,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,961 : 1,080,143 = 1,080,143 : x
  2. Step 2: Convert to fraction form
    705,961/1,080,143 = 1,080,143/x
  3. Step 3: Cross multiply
    705,961x = 1,080,143 × 1,080,143
  4. Step 4: Simplify right side
    705,961x = 1,166,708,900,449
  5. Step 5: Solve for x
    x = 1,166,708,900,449/705,961
  6. Step 6: Final answer
    x = 1,652,653.48

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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.