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Finding the Third Proportional to 1,242,072 and 2,661,206

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Solution

The third proportional to 1,242,072 and 2,661,206 is: 5,701,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,072 : 2,661,206 = 2,661,206 : x
  2. Step 2: Convert to fraction form
    1,242,072/2,661,206 = 2,661,206/x
  3. Step 3: Cross multiply
    1,242,072x = 2,661,206 × 2,661,206
  4. Step 4: Simplify right side
    1,242,072x = 7,082,017,374,436
  5. Step 5: Solve for x
    x = 7,082,017,374,436/1,242,072
  6. Step 6: Final answer
    x = 5,701,776.85

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