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Finding the Third Proportional to 962,816 and 2,033,070

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Solution

The third proportional to 962,816 and 2,033,070 is: 4,293,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,816 : 2,033,070 = 2,033,070 : x
  2. Step 2: Convert to fraction form
    962,816/2,033,070 = 2,033,070/x
  3. Step 3: Cross multiply
    962,816x = 2,033,070 × 2,033,070
  4. Step 4: Simplify right side
    962,816x = 4,133,373,624,900
  5. Step 5: Solve for x
    x = 4,133,373,624,900/962,816
  6. Step 6: Final answer
    x = 4,293,004.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.