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Finding the Third Proportional to 854,606 and 1,268,733

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Solution

The third proportional to 854,606 and 1,268,733 is: 1,883,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,606 : 1,268,733 = 1,268,733 : x
  2. Step 2: Convert to fraction form
    854,606/1,268,733 = 1,268,733/x
  3. Step 3: Cross multiply
    854,606x = 1,268,733 × 1,268,733
  4. Step 4: Simplify right side
    854,606x = 1,609,683,425,289
  5. Step 5: Solve for x
    x = 1,609,683,425,289/854,606
  6. Step 6: Final answer
    x = 1,883,538.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.