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Finding the Third Proportional to 706,212 and 1,080,512

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Solution

The third proportional to 706,212 and 1,080,512 is: 1,653,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,212 : 1,080,512 = 1,080,512 : x
  2. Step 2: Convert to fraction form
    706,212/1,080,512 = 1,080,512/x
  3. Step 3: Cross multiply
    706,212x = 1,080,512 × 1,080,512
  4. Step 4: Simplify right side
    706,212x = 1,167,506,182,144
  5. Step 5: Solve for x
    x = 1,167,506,182,144/706,212
  6. Step 6: Final answer
    x = 1,653,195.05

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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.