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Finding the Third Proportional to 706,433 and 1,513,874

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Solution

The third proportional to 706,433 and 1,513,874 is: 3,244,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,433 : 1,513,874 = 1,513,874 : x
  2. Step 2: Convert to fraction form
    706,433/1,513,874 = 1,513,874/x
  3. Step 3: Cross multiply
    706,433x = 1,513,874 × 1,513,874
  4. Step 4: Simplify right side
    706,433x = 2,291,814,487,876
  5. Step 5: Solve for x
    x = 2,291,814,487,876/706,433
  6. Step 6: Final answer
    x = 3,244,206.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.