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Finding the Third Proportional to 1,200,489.19 and 1,831,222.69

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Solution

The third proportional to 1,200,489.19 and 1,831,222.69 is: 2,793,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,489.19 : 1,831,222.69 = 1,831,222.69 : x
  2. Step 2: Convert to fraction form
    1,200,489.19/1,831,222.69 = 1,831,222.69/x
  3. Step 3: Cross multiply
    1,200,489.19x = 1,831,222.69 × 1,831,222.69
  4. Step 4: Simplify right side
    1,200,489.19x = 3,353,376,531,214.72
  5. Step 5: Solve for x
    x = 3,353,376,531,214.72/1,200,489.19
  6. Step 6: Final answer
    x = 2,793,341.72

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Why These Related Problems?

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