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Finding the Third Proportional to 467,114 and 967,444

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Solution

The third proportional to 467,114 and 967,444 is: 2,003,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,114 : 967,444 = 967,444 : x
  2. Step 2: Convert to fraction form
    467,114/967,444 = 967,444/x
  3. Step 3: Cross multiply
    467,114x = 967,444 × 967,444
  4. Step 4: Simplify right side
    467,114x = 935,947,893,136
  5. Step 5: Solve for x
    x = 935,947,893,136/467,114
  6. Step 6: Final answer
    x = 2,003,681.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.