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Finding the Third Proportional to 955,257 and 1,298,019

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Solution

The third proportional to 955,257 and 1,298,019 is: 1,763,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    955,257 : 1,298,019 = 1,298,019 : x
  2. Step 2: Convert to fraction form
    955,257/1,298,019 = 1,298,019/x
  3. Step 3: Cross multiply
    955,257x = 1,298,019 × 1,298,019
  4. Step 4: Simplify right side
    955,257x = 1,684,853,324,361
  5. Step 5: Solve for x
    x = 1,684,853,324,361/955,257
  6. Step 6: Final answer
    x = 1,763,769.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.