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Finding the Third Proportional to 2,026,368 and 3,106,944

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Solution

The third proportional to 2,026,368 and 3,106,944 is: 4,763,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026,368 : 3,106,944 = 3,106,944 : x
  2. Step 2: Convert to fraction form
    2,026,368/3,106,944 = 3,106,944/x
  3. Step 3: Cross multiply
    2,026,368x = 3,106,944 × 3,106,944
  4. Step 4: Simplify right side
    2,026,368x = 9,653,101,019,136
  5. Step 5: Solve for x
    x = 9,653,101,019,136/2,026,368
  6. Step 6: Final answer
    x = 4,763,745.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.