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Finding the Third Proportional to 605,946 and 1,318,299

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Solution

The third proportional to 605,946 and 1,318,299 is: 2,868,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,946 : 1,318,299 = 1,318,299 : x
  2. Step 2: Convert to fraction form
    605,946/1,318,299 = 1,318,299/x
  3. Step 3: Cross multiply
    605,946x = 1,318,299 × 1,318,299
  4. Step 4: Simplify right side
    605,946x = 1,737,912,253,401
  5. Step 5: Solve for x
    x = 1,737,912,253,401/605,946
  6. Step 6: Final answer
    x = 2,868,097.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.