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Finding the Third Proportional to 3,826,724 and 5,924,932

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Solution

The third proportional to 3,826,724 and 5,924,932 is: 9,173,595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,724 : 5,924,932 = 5,924,932 : x
  2. Step 2: Convert to fraction form
    3,826,724/5,924,932 = 5,924,932/x
  3. Step 3: Cross multiply
    3,826,724x = 5,924,932 × 5,924,932
  4. Step 4: Simplify right side
    3,826,724x = 35,104,819,204,624
  5. Step 5: Solve for x
    x = 35,104,819,204,624/3,826,724
  6. Step 6: Final answer
    x = 9,173,595.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.