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Finding the Third Proportional to 472,842 and 1,024,326

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Solution

The third proportional to 472,842 and 1,024,326 is: 2,219,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,842 : 1,024,326 = 1,024,326 : x
  2. Step 2: Convert to fraction form
    472,842/1,024,326 = 1,024,326/x
  3. Step 3: Cross multiply
    472,842x = 1,024,326 × 1,024,326
  4. Step 4: Simplify right side
    472,842x = 1,049,243,754,276
  5. Step 5: Solve for x
    x = 1,049,243,754,276/472,842
  6. Step 6: Final answer
    x = 2,219,015.56

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