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Finding the Third Proportional to 1,100,907 and 1,646,235

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Solution

The third proportional to 1,100,907 and 1,646,235 is: 2,461,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,907 : 1,646,235 = 1,646,235 : x
  2. Step 2: Convert to fraction form
    1,100,907/1,646,235 = 1,646,235/x
  3. Step 3: Cross multiply
    1,100,907x = 1,646,235 × 1,646,235
  4. Step 4: Simplify right side
    1,100,907x = 2,710,089,675,225
  5. Step 5: Solve for x
    x = 2,710,089,675,225/1,100,907
  6. Step 6: Final answer
    x = 2,461,688.11

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