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Finding the Third Proportional to 512,883 and 1,187,235

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Solution

The third proportional to 512,883 and 1,187,235 is: 2,748,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,883 : 1,187,235 = 1,187,235 : x
  2. Step 2: Convert to fraction form
    512,883/1,187,235 = 1,187,235/x
  3. Step 3: Cross multiply
    512,883x = 1,187,235 × 1,187,235
  4. Step 4: Simplify right side
    512,883x = 1,409,526,945,225
  5. Step 5: Solve for x
    x = 1,409,526,945,225/512,883
  6. Step 6: Final answer
    x = 2,748,242.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.