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Finding the Third Proportional to 1,003,692 and 2,164,992

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Solution

The third proportional to 1,003,692 and 2,164,992 is: 4,669,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,692 : 2,164,992 = 2,164,992 : x
  2. Step 2: Convert to fraction form
    1,003,692/2,164,992 = 2,164,992/x
  3. Step 3: Cross multiply
    1,003,692x = 2,164,992 × 2,164,992
  4. Step 4: Simplify right side
    1,003,692x = 4,687,190,360,064
  5. Step 5: Solve for x
    x = 4,687,190,360,064/1,003,692
  6. Step 6: Final answer
    x = 4,669,948.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.