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Finding the Third Proportional to 823,503 and 1,784,466

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Solution

The third proportional to 823,503 and 1,784,466 is: 3,866,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,503 : 1,784,466 = 1,784,466 : x
  2. Step 2: Convert to fraction form
    823,503/1,784,466 = 1,784,466/x
  3. Step 3: Cross multiply
    823,503x = 1,784,466 × 1,784,466
  4. Step 4: Simplify right side
    823,503x = 3,184,318,905,156
  5. Step 5: Solve for x
    x = 3,184,318,905,156/823,503
  6. Step 6: Final answer
    x = 3,866,796.97

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Why These Related Problems?

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