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Finding the Third Proportional to 759,852 and 1,203,201

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Solution

The third proportional to 759,852 and 1,203,201 is: 1,905,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,852 : 1,203,201 = 1,203,201 : x
  2. Step 2: Convert to fraction form
    759,852/1,203,201 = 1,203,201/x
  3. Step 3: Cross multiply
    759,852x = 1,203,201 × 1,203,201
  4. Step 4: Simplify right side
    759,852x = 1,447,692,646,401
  5. Step 5: Solve for x
    x = 1,447,692,646,401/759,852
  6. Step 6: Final answer
    x = 1,905,229.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.