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Finding the Third Proportional to 1,284,288 and 2,035,296

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Solution

The third proportional to 1,284,288 and 2,035,296 is: 3,225,467.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,288 : 2,035,296 = 2,035,296 : x
  2. Step 2: Convert to fraction form
    1,284,288/2,035,296 = 2,035,296/x
  3. Step 3: Cross multiply
    1,284,288x = 2,035,296 × 2,035,296
  4. Step 4: Simplify right side
    1,284,288x = 4,142,429,807,616
  5. Step 5: Solve for x
    x = 4,142,429,807,616/1,284,288
  6. Step 6: Final answer
    x = 3,225,467.97

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.