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Finding the Third Proportional to 1,426,905 and 2,089,165

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Solution

The third proportional to 1,426,905 and 2,089,165 is: 3,058,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,905 : 2,089,165 = 2,089,165 : x
  2. Step 2: Convert to fraction form
    1,426,905/2,089,165 = 2,089,165/x
  3. Step 3: Cross multiply
    1,426,905x = 2,089,165 × 2,089,165
  4. Step 4: Simplify right side
    1,426,905x = 4,364,610,397,225
  5. Step 5: Solve for x
    x = 4,364,610,397,225/1,426,905
  6. Step 6: Final answer
    x = 3,058,795.36

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.