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Finding the Third Proportional to 607,170 and 905,829

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Solution

The third proportional to 607,170 and 905,829 is: 1,351,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,170 : 905,829 = 905,829 : x
  2. Step 2: Convert to fraction form
    607,170/905,829 = 905,829/x
  3. Step 3: Cross multiply
    607,170x = 905,829 × 905,829
  4. Step 4: Simplify right side
    607,170x = 820,526,177,241
  5. Step 5: Solve for x
    x = 820,526,177,241/607,170
  6. Step 6: Final answer
    x = 1,351,394.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.