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Finding the Third Proportional to 471,942 and 1,026,816

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Solution

The third proportional to 471,942 and 1,026,816 is: 2,234,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,942 : 1,026,816 = 1,026,816 : x
  2. Step 2: Convert to fraction form
    471,942/1,026,816 = 1,026,816/x
  3. Step 3: Cross multiply
    471,942x = 1,026,816 × 1,026,816
  4. Step 4: Simplify right side
    471,942x = 1,054,351,097,856
  5. Step 5: Solve for x
    x = 1,054,351,097,856/471,942
  6. Step 6: Final answer
    x = 2,234,069.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.