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Finding the Third Proportional to 472,773 and 1,024,314

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Solution

The third proportional to 472,773 and 1,024,314 is: 2,219,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,773 : 1,024,314 = 1,024,314 : x
  2. Step 2: Convert to fraction form
    472,773/1,024,314 = 1,024,314/x
  3. Step 3: Cross multiply
    472,773x = 1,024,314 × 1,024,314
  4. Step 4: Simplify right side
    472,773x = 1,049,219,170,596
  5. Step 5: Solve for x
    x = 1,049,219,170,596/472,773
  6. Step 6: Final answer
    x = 2,219,287.42

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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.