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Finding the Third Proportional to 412,928 and 893,440

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Solution

The third proportional to 412,928 and 893,440 is: 1,933,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,928 : 893,440 = 893,440 : x
  2. Step 2: Convert to fraction form
    412,928/893,440 = 893,440/x
  3. Step 3: Cross multiply
    412,928x = 893,440 × 893,440
  4. Step 4: Simplify right side
    412,928x = 798,235,033,600
  5. Step 5: Solve for x
    x = 798,235,033,600/412,928
  6. Step 6: Final answer
    x = 1,933,109.49

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Why These Related Problems?

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