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Finding the Third Proportional to 1,271,611 and 1,782,423

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Solution

The third proportional to 1,271,611 and 1,782,423 is: 2,498,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,611 : 1,782,423 = 1,782,423 : x
  2. Step 2: Convert to fraction form
    1,271,611/1,782,423 = 1,782,423/x
  3. Step 3: Cross multiply
    1,271,611x = 1,782,423 × 1,782,423
  4. Step 4: Simplify right side
    1,271,611x = 3,177,031,750,929
  5. Step 5: Solve for x
    x = 3,177,031,750,929/1,271,611
  6. Step 6: Final answer
    x = 2,498,430.53

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Why These Related Problems?

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