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Finding the Third Proportional to 1,003,120 and 2,163,703

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Solution

The third proportional to 1,003,120 and 2,163,703 is: 4,667,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,120 : 2,163,703 = 2,163,703 : x
  2. Step 2: Convert to fraction form
    1,003,120/2,163,703 = 2,163,703/x
  3. Step 3: Cross multiply
    1,003,120x = 2,163,703 × 2,163,703
  4. Step 4: Simplify right side
    1,003,120x = 4,681,610,672,209
  5. Step 5: Solve for x
    x = 4,681,610,672,209/1,003,120
  6. Step 6: Final answer
    x = 4,667,049.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.