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Finding the Third Proportional to 1,100,911 and 1,646,241

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Solution

The third proportional to 1,100,911 and 1,646,241 is: 2,461,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,911 : 1,646,241 = 1,646,241 : x
  2. Step 2: Convert to fraction form
    1,100,911/1,646,241 = 1,646,241/x
  3. Step 3: Cross multiply
    1,100,911x = 1,646,241 × 1,646,241
  4. Step 4: Simplify right side
    1,100,911x = 2,710,109,430,081
  5. Step 5: Solve for x
    x = 2,710,109,430,081/1,100,911
  6. Step 6: Final answer
    x = 2,461,697.11

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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.