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Finding the Third Proportional to 1,409,605.50 and 2,147,454

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Solution

The third proportional to 1,409,605.50 and 2,147,454 is: 3,271,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,605.50 : 2,147,454 = 2,147,454 : x
  2. Step 2: Convert to fraction form
    1,409,605.50/2,147,454 = 2,147,454/x
  3. Step 3: Cross multiply
    1,409,605.50x = 2,147,454 × 2,147,454
  4. Step 4: Simplify right side
    1,409,605.50x = 4,611,558,682,116
  5. Step 5: Solve for x
    x = 4,611,558,682,116/1,409,605.50
  6. Step 6: Final answer
    x = 3,271,524.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.