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Finding the Third Proportional to 1,289,472 and 2,769,201

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Solution

The third proportional to 1,289,472 and 2,769,201 is: 5,946,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,472 : 2,769,201 = 2,769,201 : x
  2. Step 2: Convert to fraction form
    1,289,472/2,769,201 = 2,769,201/x
  3. Step 3: Cross multiply
    1,289,472x = 2,769,201 × 2,769,201
  4. Step 4: Simplify right side
    1,289,472x = 7,668,474,178,401
  5. Step 5: Solve for x
    x = 7,668,474,178,401/1,289,472
  6. Step 6: Final answer
    x = 5,946,987.74

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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.