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Finding the Third Proportional to 471,150 and 1,022,598

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Solution

The third proportional to 471,150 and 1,022,598 is: 2,219,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,150 : 1,022,598 = 1,022,598 : x
  2. Step 2: Convert to fraction form
    471,150/1,022,598 = 1,022,598/x
  3. Step 3: Cross multiply
    471,150x = 1,022,598 × 1,022,598
  4. Step 4: Simplify right side
    471,150x = 1,045,706,669,604
  5. Step 5: Solve for x
    x = 1,045,706,669,604/471,150
  6. Step 6: Final answer
    x = 2,219,477.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.