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Finding the Third Proportional to 706,814 and 1,473,244

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Solution

The third proportional to 706,814 and 1,473,244 is: 3,070,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,814 : 1,473,244 = 1,473,244 : x
  2. Step 2: Convert to fraction form
    706,814/1,473,244 = 1,473,244/x
  3. Step 3: Cross multiply
    706,814x = 1,473,244 × 1,473,244
  4. Step 4: Simplify right side
    706,814x = 2,170,447,883,536
  5. Step 5: Solve for x
    x = 2,170,447,883,536/706,814
  6. Step 6: Final answer
    x = 3,070,748.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.