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Finding the Third Proportional to 648,660 and 1,419,501

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Solution

The third proportional to 648,660 and 1,419,501 is: 3,106,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,660 : 1,419,501 = 1,419,501 : x
  2. Step 2: Convert to fraction form
    648,660/1,419,501 = 1,419,501/x
  3. Step 3: Cross multiply
    648,660x = 1,419,501 × 1,419,501
  4. Step 4: Simplify right side
    648,660x = 2,014,983,089,001
  5. Step 5: Solve for x
    x = 2,014,983,089,001/648,660
  6. Step 6: Final answer
    x = 3,106,377.90

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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.