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Finding the Third Proportional to 1,589,092 and 3,473,400

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Solution

The third proportional to 1,589,092 and 3,473,400 is: 7,592,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,092 : 3,473,400 = 3,473,400 : x
  2. Step 2: Convert to fraction form
    1,589,092/3,473,400 = 3,473,400/x
  3. Step 3: Cross multiply
    1,589,092x = 3,473,400 × 3,473,400
  4. Step 4: Simplify right side
    1,589,092x = 12,064,507,560,000
  5. Step 5: Solve for x
    x = 12,064,507,560,000/1,589,092
  6. Step 6: Final answer
    x = 7,592,076.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.