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Finding the Third Proportional to 465,361 and 1,013,125

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Solution

The third proportional to 465,361 and 1,013,125 is: 2,205,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,361 : 1,013,125 = 1,013,125 : x
  2. Step 2: Convert to fraction form
    465,361/1,013,125 = 1,013,125/x
  3. Step 3: Cross multiply
    465,361x = 1,013,125 × 1,013,125
  4. Step 4: Simplify right side
    465,361x = 1,026,422,265,625
  5. Step 5: Solve for x
    x = 1,026,422,265,625/465,361
  6. Step 6: Final answer
    x = 2,205,647.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.