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Finding the Third Proportional to 1,100,967 and 2,301,807

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Solution

The third proportional to 1,100,967 and 2,301,807 is: 4,812,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,967 : 2,301,807 = 2,301,807 : x
  2. Step 2: Convert to fraction form
    1,100,967/2,301,807 = 2,301,807/x
  3. Step 3: Cross multiply
    1,100,967x = 2,301,807 × 2,301,807
  4. Step 4: Simplify right side
    1,100,967x = 5,298,315,465,249
  5. Step 5: Solve for x
    x = 5,298,315,465,249/1,100,967
  6. Step 6: Final answer
    x = 4,812,419.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.