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Finding the Third Proportional to 2,577,029 and 5,089,009

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Solution

The third proportional to 2,577,029 and 5,089,009 is: 10,049,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577,029 : 5,089,009 = 5,089,009 : x
  2. Step 2: Convert to fraction form
    2,577,029/5,089,009 = 5,089,009/x
  3. Step 3: Cross multiply
    2,577,029x = 5,089,009 × 5,089,009
  4. Step 4: Simplify right side
    2,577,029x = 25,898,012,602,081
  5. Step 5: Solve for x
    x = 25,898,012,602,081/2,577,029
  6. Step 6: Final answer
    x = 10,049,561.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.