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Finding the Third Proportional to 1,200,481 and 1,831,211

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Solution

The third proportional to 1,200,481 and 1,831,211 is: 2,793,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,481 : 1,831,211 = 1,831,211 : x
  2. Step 2: Convert to fraction form
    1,200,481/1,831,211 = 1,831,211/x
  3. Step 3: Cross multiply
    1,200,481x = 1,831,211 × 1,831,211
  4. Step 4: Simplify right side
    1,200,481x = 3,353,333,726,521
  5. Step 5: Solve for x
    x = 3,353,333,726,521/1,200,481
  6. Step 6: Final answer
    x = 2,793,325.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.