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Finding the Third Proportional to 496,680 and 1,038,330

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Solution

The third proportional to 496,680 and 1,038,330 is: 2,170,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,680 : 1,038,330 = 1,038,330 : x
  2. Step 2: Convert to fraction form
    496,680/1,038,330 = 1,038,330/x
  3. Step 3: Cross multiply
    496,680x = 1,038,330 × 1,038,330
  4. Step 4: Simplify right side
    496,680x = 1,078,129,188,900
  5. Step 5: Solve for x
    x = 1,078,129,188,900/496,680
  6. Step 6: Final answer
    x = 2,170,671.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.