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Finding the Third Proportional to 706,212 and 906,747.75

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Solution

The third proportional to 706,212 and 906,747.75 is: 1,164,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,212 : 906,747.75 = 906,747.75 : x
  2. Step 2: Convert to fraction form
    706,212/906,747.75 = 906,747.75/x
  3. Step 3: Cross multiply
    706,212x = 906,747.75 × 906,747.75
  4. Step 4: Simplify right side
    706,212x = 822,191,482,130.06
  5. Step 5: Solve for x
    x = 822,191,482,130.06/706,212
  6. Step 6: Final answer
    x = 1,164,227.57

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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.