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Finding the Third Proportional to 1,164,690 and 2,469,330

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Solution

The third proportional to 1,164,690 and 2,469,330 is: 5,235,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,690 : 2,469,330 = 2,469,330 : x
  2. Step 2: Convert to fraction form
    1,164,690/2,469,330 = 2,469,330/x
  3. Step 3: Cross multiply
    1,164,690x = 2,469,330 × 2,469,330
  4. Step 4: Simplify right side
    1,164,690x = 6,097,590,648,900
  5. Step 5: Solve for x
    x = 6,097,590,648,900/1,164,690
  6. Step 6: Final answer
    x = 5,235,376.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.