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Finding the Third Proportional to 600,834 and 930,006

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Solution

The third proportional to 600,834 and 930,006 is: 1,439,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,834 : 930,006 = 930,006 : x
  2. Step 2: Convert to fraction form
    600,834/930,006 = 930,006/x
  3. Step 3: Cross multiply
    600,834x = 930,006 × 930,006
  4. Step 4: Simplify right side
    600,834x = 864,911,160,036
  5. Step 5: Solve for x
    x = 864,911,160,036/600,834
  6. Step 6: Final answer
    x = 1,439,517.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.