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Finding the Third Proportional to 654,441 and 1,368,172

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Solution

The third proportional to 654,441 and 1,368,172 is: 2,860,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,441 : 1,368,172 = 1,368,172 : x
  2. Step 2: Convert to fraction form
    654,441/1,368,172 = 1,368,172/x
  3. Step 3: Cross multiply
    654,441x = 1,368,172 × 1,368,172
  4. Step 4: Simplify right side
    654,441x = 1,871,894,621,584
  5. Step 5: Solve for x
    x = 1,871,894,621,584/654,441
  6. Step 6: Final answer
    x = 2,860,295.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.