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Finding the Third Proportional to 476,274 and 1,021,608

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Solution

The third proportional to 476,274 and 1,021,608 is: 2,191,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,274 : 1,021,608 = 1,021,608 : x
  2. Step 2: Convert to fraction form
    476,274/1,021,608 = 1,021,608/x
  3. Step 3: Cross multiply
    476,274x = 1,021,608 × 1,021,608
  4. Step 4: Simplify right side
    476,274x = 1,043,682,905,664
  5. Step 5: Solve for x
    x = 1,043,682,905,664/476,274
  6. Step 6: Final answer
    x = 2,191,349.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.