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Finding the Third Proportional to 1,286,106 and 2,824,444

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Solution

The third proportional to 1,286,106 and 2,824,444 is: 6,202,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,106 : 2,824,444 = 2,824,444 : x
  2. Step 2: Convert to fraction form
    1,286,106/2,824,444 = 2,824,444/x
  3. Step 3: Cross multiply
    1,286,106x = 2,824,444 × 2,824,444
  4. Step 4: Simplify right side
    1,286,106x = 7,977,483,909,136
  5. Step 5: Solve for x
    x = 7,977,483,909,136/1,286,106
  6. Step 6: Final answer
    x = 6,202,819.91

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