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Finding the Third Proportional to 1,242,122 and 2,661,308

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Solution

The third proportional to 1,242,122 and 2,661,308 is: 5,701,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,122 : 2,661,308 = 2,661,308 : x
  2. Step 2: Convert to fraction form
    1,242,122/2,661,308 = 2,661,308/x
  3. Step 3: Cross multiply
    1,242,122x = 2,661,308 × 2,661,308
  4. Step 4: Simplify right side
    1,242,122x = 7,082,560,270,864
  5. Step 5: Solve for x
    x = 7,082,560,270,864/1,242,122
  6. Step 6: Final answer
    x = 5,701,984.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.