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Finding the Third Proportional to 1,242,078 and 2,661,222

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Solution

The third proportional to 1,242,078 and 2,661,222 is: 5,701,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,078 : 2,661,222 = 2,661,222 : x
  2. Step 2: Convert to fraction form
    1,242,078/2,661,222 = 2,661,222/x
  3. Step 3: Cross multiply
    1,242,078x = 2,661,222 × 2,661,222
  4. Step 4: Simplify right side
    1,242,078x = 7,082,102,533,284
  5. Step 5: Solve for x
    x = 7,082,102,533,284/1,242,078
  6. Step 6: Final answer
    x = 5,701,817.87

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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.