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Finding the Third Proportional to 519,416 and 1,117,744

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Solution

The third proportional to 519,416 and 1,117,744 is: 2,405,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,416 : 1,117,744 = 1,117,744 : x
  2. Step 2: Convert to fraction form
    519,416/1,117,744 = 1,117,744/x
  3. Step 3: Cross multiply
    519,416x = 1,117,744 × 1,117,744
  4. Step 4: Simplify right side
    519,416x = 1,249,351,649,536
  5. Step 5: Solve for x
    x = 1,249,351,649,536/519,416
  6. Step 6: Final answer
    x = 2,405,300.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.