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Finding the Third Proportional to 1,029,704 and 1,594,380

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Solution

The third proportional to 1,029,704 and 1,594,380 is: 2,468,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,704 : 1,594,380 = 1,594,380 : x
  2. Step 2: Convert to fraction form
    1,029,704/1,594,380 = 1,594,380/x
  3. Step 3: Cross multiply
    1,029,704x = 1,594,380 × 1,594,380
  4. Step 4: Simplify right side
    1,029,704x = 2,542,047,584,400
  5. Step 5: Solve for x
    x = 2,542,047,584,400/1,029,704
  6. Step 6: Final answer
    x = 2,468,716.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.