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Finding the Third Proportional to 412,930 and 893,444

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Solution

The third proportional to 412,930 and 893,444 is: 1,933,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,930 : 893,444 = 893,444 : x
  2. Step 2: Convert to fraction form
    412,930/893,444 = 893,444/x
  3. Step 3: Cross multiply
    412,930x = 893,444 × 893,444
  4. Step 4: Simplify right side
    412,930x = 798,242,181,136
  5. Step 5: Solve for x
    x = 798,242,181,136/412,930
  6. Step 6: Final answer
    x = 1,933,117.43

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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.