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Finding the Third Proportional to 691,602 and 1,431,204

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Solution

The third proportional to 691,602 and 1,431,204 is: 2,961,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,602 : 1,431,204 = 1,431,204 : x
  2. Step 2: Convert to fraction form
    691,602/1,431,204 = 1,431,204/x
  3. Step 3: Cross multiply
    691,602x = 1,431,204 × 1,431,204
  4. Step 4: Simplify right side
    691,602x = 2,048,344,889,616
  5. Step 5: Solve for x
    x = 2,048,344,889,616/691,602
  6. Step 6: Final answer
    x = 2,961,739.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.