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Finding the Third Proportional to 673,814 and 1,474,228

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Solution

The third proportional to 673,814 and 1,474,228 is: 3,225,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,814 : 1,474,228 = 1,474,228 : x
  2. Step 2: Convert to fraction form
    673,814/1,474,228 = 1,474,228/x
  3. Step 3: Cross multiply
    673,814x = 1,474,228 × 1,474,228
  4. Step 4: Simplify right side
    673,814x = 2,173,348,195,984
  5. Step 5: Solve for x
    x = 2,173,348,195,984/673,814
  6. Step 6: Final answer
    x = 3,225,442.33

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.