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Finding the Third Proportional to 1,271,609 and 1,782,420

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Solution

The third proportional to 1,271,609 and 1,782,420 is: 2,498,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,609 : 1,782,420 = 1,782,420 : x
  2. Step 2: Convert to fraction form
    1,271,609/1,782,420 = 1,782,420/x
  3. Step 3: Cross multiply
    1,271,609x = 1,782,420 × 1,782,420
  4. Step 4: Simplify right side
    1,271,609x = 3,177,021,056,400
  5. Step 5: Solve for x
    x = 3,177,021,056,400/1,271,609
  6. Step 6: Final answer
    x = 2,498,426.05

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.