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Finding the Third Proportional to 591,177 and 1,300,455

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Solution

The third proportional to 591,177 and 1,300,455 is: 2,860,705.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,177 : 1,300,455 = 1,300,455 : x
  2. Step 2: Convert to fraction form
    591,177/1,300,455 = 1,300,455/x
  3. Step 3: Cross multiply
    591,177x = 1,300,455 × 1,300,455
  4. Step 4: Simplify right side
    591,177x = 1,691,183,207,025
  5. Step 5: Solve for x
    x = 1,691,183,207,025/591,177
  6. Step 6: Final answer
    x = 2,860,705.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.