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Finding the Third Proportional to 662,242 and 1,019,197

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Solution

The third proportional to 662,242 and 1,019,197 is: 1,568,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,242 : 1,019,197 = 1,019,197 : x
  2. Step 2: Convert to fraction form
    662,242/1,019,197 = 1,019,197/x
  3. Step 3: Cross multiply
    662,242x = 1,019,197 × 1,019,197
  4. Step 4: Simplify right side
    662,242x = 1,038,762,524,809
  5. Step 5: Solve for x
    x = 1,038,762,524,809/662,242
  6. Step 6: Final answer
    x = 1,568,554.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.