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Finding the Third Proportional to 1,649,623.22 and 3,450,076.03

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Solution

The third proportional to 1,649,623.22 and 3,450,076.03 is: 7,215,602.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,623.22 : 3,450,076.03 = 3,450,076.03 : x
  2. Step 2: Convert to fraction form
    1,649,623.22/3,450,076.03 = 3,450,076.03/x
  3. Step 3: Cross multiply
    1,649,623.22x = 3,450,076.03 × 3,450,076.03
  4. Step 4: Simplify right side
    1,649,623.22x = 11,903,024,621,405.75
  5. Step 5: Solve for x
    x = 11,903,024,621,405.75/1,649,623.22
  6. Step 6: Final answer
    x = 7,215,602.02

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.