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Finding the Third Proportional to 4,194,836 and 6,477,697

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Solution

The third proportional to 4,194,836 and 6,477,697 is: 10,002,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,836 : 6,477,697 = 6,477,697 : x
  2. Step 2: Convert to fraction form
    4,194,836/6,477,697 = 6,477,697/x
  3. Step 3: Cross multiply
    4,194,836x = 6,477,697 × 6,477,697
  4. Step 4: Simplify right side
    4,194,836x = 41,960,558,423,809
  5. Step 5: Solve for x
    x = 41,960,558,423,809/4,194,836
  6. Step 6: Final answer
    x = 10,002,907.96

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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.