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Finding the Third Proportional to 1,051,520 and 1,603,296

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Solution

The third proportional to 1,051,520 and 1,603,296 is: 2,444,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,520 : 1,603,296 = 1,603,296 : x
  2. Step 2: Convert to fraction form
    1,051,520/1,603,296 = 1,603,296/x
  3. Step 3: Cross multiply
    1,051,520x = 1,603,296 × 1,603,296
  4. Step 4: Simplify right side
    1,051,520x = 2,570,558,063,616
  5. Step 5: Solve for x
    x = 2,570,558,063,616/1,051,520
  6. Step 6: Final answer
    x = 2,444,611.67

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