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Finding the Third Proportional to 1,945,200 and 4,226,786

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Solution

The third proportional to 1,945,200 and 4,226,786 is: 9,184,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,200 : 4,226,786 = 4,226,786 : x
  2. Step 2: Convert to fraction form
    1,945,200/4,226,786 = 4,226,786/x
  3. Step 3: Cross multiply
    1,945,200x = 4,226,786 × 4,226,786
  4. Step 4: Simplify right side
    1,945,200x = 17,865,719,889,796
  5. Step 5: Solve for x
    x = 17,865,719,889,796/1,945,200
  6. Step 6: Final answer
    x = 9,184,515.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.