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Finding the Third Proportional to 802,063 and 1,783,453

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Solution

The third proportional to 802,063 and 1,783,453 is: 3,965,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,063 : 1,783,453 = 1,783,453 : x
  2. Step 2: Convert to fraction form
    802,063/1,783,453 = 1,783,453/x
  3. Step 3: Cross multiply
    802,063x = 1,783,453 × 1,783,453
  4. Step 4: Simplify right side
    802,063x = 3,180,704,603,209
  5. Step 5: Solve for x
    x = 3,180,704,603,209/802,063
  6. Step 6: Final answer
    x = 3,965,654.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.