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Finding the Third Proportional to 1,842,961 and 3,833,054

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Solution

The third proportional to 1,842,961 and 3,833,054 is: 7,972,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842,961 : 3,833,054 = 3,833,054 : x
  2. Step 2: Convert to fraction form
    1,842,961/3,833,054 = 3,833,054/x
  3. Step 3: Cross multiply
    1,842,961x = 3,833,054 × 3,833,054
  4. Step 4: Simplify right side
    1,842,961x = 14,692,302,966,916
  5. Step 5: Solve for x
    x = 14,692,302,966,916/1,842,961
  6. Step 6: Final answer
    x = 7,972,118.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.