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Finding the Third Proportional to 706,168 and 906,702

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Solution

The third proportional to 706,168 and 906,702 is: 1,164,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,168 : 906,702 = 906,702 : x
  2. Step 2: Convert to fraction form
    706,168/906,702 = 906,702/x
  3. Step 3: Cross multiply
    706,168x = 906,702 × 906,702
  4. Step 4: Simplify right side
    706,168x = 822,108,516,804
  5. Step 5: Solve for x
    x = 822,108,516,804/706,168
  6. Step 6: Final answer
    x = 1,164,182.63

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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.