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Finding the Third Proportional to 649,158 and 1,401,996

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Solution

The third proportional to 649,158 and 1,401,996 is: 3,027,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,158 : 1,401,996 = 1,401,996 : x
  2. Step 2: Convert to fraction form
    649,158/1,401,996 = 1,401,996/x
  3. Step 3: Cross multiply
    649,158x = 1,401,996 × 1,401,996
  4. Step 4: Simplify right side
    649,158x = 1,965,592,784,016
  5. Step 5: Solve for x
    x = 1,965,592,784,016/649,158
  6. Step 6: Final answer
    x = 3,027,911.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.