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Finding the Third Proportional to 2,809,602 and 4,203,114

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Solution

The third proportional to 2,809,602 and 4,203,114 is: 6,287,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809,602 : 4,203,114 = 4,203,114 : x
  2. Step 2: Convert to fraction form
    2,809,602/4,203,114 = 4,203,114/x
  3. Step 3: Cross multiply
    2,809,602x = 4,203,114 × 4,203,114
  4. Step 4: Simplify right side
    2,809,602x = 17,666,167,296,996
  5. Step 5: Solve for x
    x = 17,666,167,296,996/2,809,602
  6. Step 6: Final answer
    x = 6,287,782.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.