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Finding the Third Proportional to 2,271,417 and 5,003,724

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Solution

The third proportional to 2,271,417 and 5,003,724 is: 11,022,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,417 : 5,003,724 = 5,003,724 : x
  2. Step 2: Convert to fraction form
    2,271,417/5,003,724 = 5,003,724/x
  3. Step 3: Cross multiply
    2,271,417x = 5,003,724 × 5,003,724
  4. Step 4: Simplify right side
    2,271,417x = 25,037,253,868,176
  5. Step 5: Solve for x
    x = 25,037,253,868,176/2,271,417
  6. Step 6: Final answer
    x = 11,022,746.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.