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Finding the Third Proportional to 832,024 and 1,796,766

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Solution

The third proportional to 832,024 and 1,796,766 is: 3,880,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,024 : 1,796,766 = 1,796,766 : x
  2. Step 2: Convert to fraction form
    832,024/1,796,766 = 1,796,766/x
  3. Step 3: Cross multiply
    832,024x = 1,796,766 × 1,796,766
  4. Step 4: Simplify right side
    832,024x = 3,228,368,058,756
  5. Step 5: Solve for x
    x = 3,228,368,058,756/832,024
  6. Step 6: Final answer
    x = 3,880,138.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.