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Finding the Third Proportional to 706,322 and 906,910

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Solution

The third proportional to 706,322 and 906,910 is: 1,164,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,322 : 906,910 = 906,910 : x
  2. Step 2: Convert to fraction form
    706,322/906,910 = 906,910/x
  3. Step 3: Cross multiply
    706,322x = 906,910 × 906,910
  4. Step 4: Simplify right side
    706,322x = 822,485,748,100
  5. Step 5: Solve for x
    x = 822,485,748,100/706,322
  6. Step 6: Final answer
    x = 1,164,462.88

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.