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Finding the Third Proportional to 952,617 and 2,054,796

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Solution

The third proportional to 952,617 and 2,054,796 is: 4,432,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,617 : 2,054,796 = 2,054,796 : x
  2. Step 2: Convert to fraction form
    952,617/2,054,796 = 2,054,796/x
  3. Step 3: Cross multiply
    952,617x = 2,054,796 × 2,054,796
  4. Step 4: Simplify right side
    952,617x = 4,222,186,601,616
  5. Step 5: Solve for x
    x = 4,222,186,601,616/952,617
  6. Step 6: Final answer
    x = 4,432,197.41

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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.