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Finding the Third Proportional to 706,194 and 1,080,486

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Solution

The third proportional to 706,194 and 1,080,486 is: 1,653,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,194 : 1,080,486 = 1,080,486 : x
  2. Step 2: Convert to fraction form
    706,194/1,080,486 = 1,080,486/x
  3. Step 3: Cross multiply
    706,194x = 1,080,486 × 1,080,486
  4. Step 4: Simplify right side
    706,194x = 1,167,449,996,196
  5. Step 5: Solve for x
    x = 1,167,449,996,196/706,194
  6. Step 6: Final answer
    x = 1,653,157.63

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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.