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Finding the Third Proportional to 681,840 and 1,022,328

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Solution

The third proportional to 681,840 and 1,022,328 is: 1,532,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,840 : 1,022,328 = 1,022,328 : x
  2. Step 2: Convert to fraction form
    681,840/1,022,328 = 1,022,328/x
  3. Step 3: Cross multiply
    681,840x = 1,022,328 × 1,022,328
  4. Step 4: Simplify right side
    681,840x = 1,045,154,539,584
  5. Step 5: Solve for x
    x = 1,045,154,539,584/681,840
  6. Step 6: Final answer
    x = 1,532,844.27

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Why These Related Problems?

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