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Finding the Third Proportional to 706,172 and 906,708

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Solution

The third proportional to 706,172 and 906,708 is: 1,164,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,172 : 906,708 = 906,708 : x
  2. Step 2: Convert to fraction form
    706,172/906,708 = 906,708/x
  3. Step 3: Cross multiply
    706,172x = 906,708 × 906,708
  4. Step 4: Simplify right side
    706,172x = 822,119,397,264
  5. Step 5: Solve for x
    x = 822,119,397,264/706,172
  6. Step 6: Final answer
    x = 1,164,191.44

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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.