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Finding the Third Proportional to 1,682,000 and 2,611,584

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Solution

The third proportional to 1,682,000 and 2,611,584 is: 4,054,917.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,000 : 2,611,584 = 2,611,584 : x
  2. Step 2: Convert to fraction form
    1,682,000/2,611,584 = 2,611,584/x
  3. Step 3: Cross multiply
    1,682,000x = 2,611,584 × 2,611,584
  4. Step 4: Simplify right side
    1,682,000x = 6,820,370,989,056
  5. Step 5: Solve for x
    x = 6,820,370,989,056/1,682,000
  6. Step 6: Final answer
    x = 4,054,917.35

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Why These Related Problems?

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