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Finding the Third Proportional to 706,188 and 1,080,478

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Solution

The third proportional to 706,188 and 1,080,478 is: 1,653,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,188 : 1,080,478 = 1,080,478 : x
  2. Step 2: Convert to fraction form
    706,188/1,080,478 = 1,080,478/x
  3. Step 3: Cross multiply
    706,188x = 1,080,478 × 1,080,478
  4. Step 4: Simplify right side
    706,188x = 1,167,432,708,484
  5. Step 5: Solve for x
    x = 1,167,432,708,484/706,188
  6. Step 6: Final answer
    x = 1,653,147.19

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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.