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Finding the Third Proportional to 1,401,916 and 3,069,188

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Solution

The third proportional to 1,401,916 and 3,069,188 is: 6,719,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,916 : 3,069,188 = 3,069,188 : x
  2. Step 2: Convert to fraction form
    1,401,916/3,069,188 = 3,069,188/x
  3. Step 3: Cross multiply
    1,401,916x = 3,069,188 × 3,069,188
  4. Step 4: Simplify right side
    1,401,916x = 9,419,914,979,344
  5. Step 5: Solve for x
    x = 9,419,914,979,344/1,401,916
  6. Step 6: Final answer
    x = 6,719,314.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.