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Finding the Third Proportional to 1,313,760 and 2,823,968

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Solution

The third proportional to 1,313,760 and 2,823,968 is: 6,070,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,760 : 2,823,968 = 2,823,968 : x
  2. Step 2: Convert to fraction form
    1,313,760/2,823,968 = 2,823,968/x
  3. Step 3: Cross multiply
    1,313,760x = 2,823,968 × 2,823,968
  4. Step 4: Simplify right side
    1,313,760x = 7,974,795,265,024
  5. Step 5: Solve for x
    x = 7,974,795,265,024/1,313,760
  6. Step 6: Final answer
    x = 6,070,207.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.