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Finding the Third Proportional to 964,037 and 2,099,722

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Solution

The third proportional to 964,037 and 2,099,722 is: 4,573,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,037 : 2,099,722 = 2,099,722 : x
  2. Step 2: Convert to fraction form
    964,037/2,099,722 = 2,099,722/x
  3. Step 3: Cross multiply
    964,037x = 2,099,722 × 2,099,722
  4. Step 4: Simplify right side
    964,037x = 4,408,832,477,284
  5. Step 5: Solve for x
    x = 4,408,832,477,284/964,037
  6. Step 6: Final answer
    x = 4,573,302.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.