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Finding the Third Proportional to 504,756 and 1,024,344

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Solution

The third proportional to 504,756 and 1,024,344 is: 2,078,787.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,756 : 1,024,344 = 1,024,344 : x
  2. Step 2: Convert to fraction form
    504,756/1,024,344 = 1,024,344/x
  3. Step 3: Cross multiply
    504,756x = 1,024,344 × 1,024,344
  4. Step 4: Simplify right side
    504,756x = 1,049,280,630,336
  5. Step 5: Solve for x
    x = 1,049,280,630,336/504,756
  6. Step 6: Final answer
    x = 2,078,787.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.