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Finding the Third Proportional to 1,469,250 and 3,220,164

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Solution

The third proportional to 1,469,250 and 3,220,164 is: 7,057,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,250 : 3,220,164 = 3,220,164 : x
  2. Step 2: Convert to fraction form
    1,469,250/3,220,164 = 3,220,164/x
  3. Step 3: Cross multiply
    1,469,250x = 3,220,164 × 3,220,164
  4. Step 4: Simplify right side
    1,469,250x = 10,369,456,186,896
  5. Step 5: Solve for x
    x = 10,369,456,186,896/1,469,250
  6. Step 6: Final answer
    x = 7,057,652.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.