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Finding the Third Proportional to 691,600 and 1,431,200

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Solution

The third proportional to 691,600 and 1,431,200 is: 2,961,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,600 : 1,431,200 = 1,431,200 : x
  2. Step 2: Convert to fraction form
    691,600/1,431,200 = 1,431,200/x
  3. Step 3: Cross multiply
    691,600x = 1,431,200 × 1,431,200
  4. Step 4: Simplify right side
    691,600x = 2,048,333,440,000
  5. Step 5: Solve for x
    x = 2,048,333,440,000/691,600
  6. Step 6: Final answer
    x = 2,961,731.41

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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.