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Finding the Third Proportional to 1,101,024 and 1,609,050

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Solution

The third proportional to 1,101,024 and 1,609,050 is: 2,351,485.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,024 : 1,609,050 = 1,609,050 : x
  2. Step 2: Convert to fraction form
    1,101,024/1,609,050 = 1,609,050/x
  3. Step 3: Cross multiply
    1,101,024x = 1,609,050 × 1,609,050
  4. Step 4: Simplify right side
    1,101,024x = 2,589,041,902,500
  5. Step 5: Solve for x
    x = 2,589,041,902,500/1,101,024
  6. Step 6: Final answer
    x = 2,351,485.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.