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Finding the Third Proportional to 859,320 and 1,288,384

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Solution

The third proportional to 859,320 and 1,288,384 is: 1,931,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,320 : 1,288,384 = 1,288,384 : x
  2. Step 2: Convert to fraction form
    859,320/1,288,384 = 1,288,384/x
  3. Step 3: Cross multiply
    859,320x = 1,288,384 × 1,288,384
  4. Step 4: Simplify right side
    859,320x = 1,659,933,331,456
  5. Step 5: Solve for x
    x = 1,659,933,331,456/859,320
  6. Step 6: Final answer
    x = 1,931,682.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.