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Finding the Third Proportional to 501,858 and 1,082,520

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Solution

The third proportional to 501,858 and 1,082,520 is: 2,335,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,858 : 1,082,520 = 1,082,520 : x
  2. Step 2: Convert to fraction form
    501,858/1,082,520 = 1,082,520/x
  3. Step 3: Cross multiply
    501,858x = 1,082,520 × 1,082,520
  4. Step 4: Simplify right side
    501,858x = 1,171,849,550,400
  5. Step 5: Solve for x
    x = 1,171,849,550,400/501,858
  6. Step 6: Final answer
    x = 2,335,022.16

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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.