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Finding the Third Proportional to 2,094,596 and 3,202,813

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Solution

The third proportional to 2,094,596 and 3,202,813 is: 4,897,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,596 : 3,202,813 = 3,202,813 : x
  2. Step 2: Convert to fraction form
    2,094,596/3,202,813 = 3,202,813/x
  3. Step 3: Cross multiply
    2,094,596x = 3,202,813 × 3,202,813
  4. Step 4: Simplify right side
    2,094,596x = 10,258,011,112,969
  5. Step 5: Solve for x
    x = 10,258,011,112,969/2,094,596
  6. Step 6: Final answer
    x = 4,897,369.76

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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.