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Finding the Third Proportional to 770,647 and 1,654,921

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Solution

The third proportional to 770,647 and 1,654,921 is: 3,553,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,647 : 1,654,921 = 1,654,921 : x
  2. Step 2: Convert to fraction form
    770,647/1,654,921 = 1,654,921/x
  3. Step 3: Cross multiply
    770,647x = 1,654,921 × 1,654,921
  4. Step 4: Simplify right side
    770,647x = 2,738,763,516,241
  5. Step 5: Solve for x
    x = 2,738,763,516,241/770,647
  6. Step 6: Final answer
    x = 3,553,849.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.