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Finding the Third Proportional to 854,964 and 1,334,205

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Solution

The third proportional to 854,964 and 1,334,205 is: 2,082,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,964 : 1,334,205 = 1,334,205 : x
  2. Step 2: Convert to fraction form
    854,964/1,334,205 = 1,334,205/x
  3. Step 3: Cross multiply
    854,964x = 1,334,205 × 1,334,205
  4. Step 4: Simplify right side
    854,964x = 1,780,102,982,025
  5. Step 5: Solve for x
    x = 1,780,102,982,025/854,964
  6. Step 6: Final answer
    x = 2,082,079.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.