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Finding the Third Proportional to 472,808 and 1,024,372

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Solution

The third proportional to 472,808 and 1,024,372 is: 2,219,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,808 : 1,024,372 = 1,024,372 : x
  2. Step 2: Convert to fraction form
    472,808/1,024,372 = 1,024,372/x
  3. Step 3: Cross multiply
    472,808x = 1,024,372 × 1,024,372
  4. Step 4: Simplify right side
    472,808x = 1,049,337,994,384
  5. Step 5: Solve for x
    x = 1,049,337,994,384/472,808
  6. Step 6: Final answer
    x = 2,219,374.45

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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.