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Finding the Third Proportional to 854,823 and 1,328,863.50

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Solution

The third proportional to 854,823 and 1,328,863.50 is: 2,065,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,823 : 1,328,863.50 = 1,328,863.50 : x
  2. Step 2: Convert to fraction form
    854,823/1,328,863.50 = 1,328,863.50/x
  3. Step 3: Cross multiply
    854,823x = 1,328,863.50 × 1,328,863.50
  4. Step 4: Simplify right side
    854,823x = 1,765,878,201,632.25
  5. Step 5: Solve for x
    x = 1,765,878,201,632.25/854,823
  6. Step 6: Final answer
    x = 2,065,782.27

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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.