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Finding the Third Proportional to 607,176 and 905,837

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Solution

The third proportional to 607,176 and 905,837 is: 1,351,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,176 : 905,837 = 905,837 : x
  2. Step 2: Convert to fraction form
    607,176/905,837 = 905,837/x
  3. Step 3: Cross multiply
    607,176x = 905,837 × 905,837
  4. Step 4: Simplify right side
    607,176x = 820,540,670,569
  5. Step 5: Solve for x
    x = 820,540,670,569/607,176
  6. Step 6: Final answer
    x = 1,351,404.98

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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.