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Finding the Third Proportional to 1,501,928 and 2,196,301

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Solution

The third proportional to 1,501,928 and 2,196,301 is: 3,211,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501,928 : 2,196,301 = 2,196,301 : x
  2. Step 2: Convert to fraction form
    1,501,928/2,196,301 = 2,196,301/x
  3. Step 3: Cross multiply
    1,501,928x = 2,196,301 × 2,196,301
  4. Step 4: Simplify right side
    1,501,928x = 4,823,738,082,601
  5. Step 5: Solve for x
    x = 4,823,738,082,601/1,501,928
  6. Step 6: Final answer
    x = 3,211,697.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.