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Finding the Third Proportional to 748,120 and 1,593,964

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Solution

The third proportional to 748,120 and 1,593,964 is: 3,396,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,120 : 1,593,964 = 1,593,964 : x
  2. Step 2: Convert to fraction form
    748,120/1,593,964 = 1,593,964/x
  3. Step 3: Cross multiply
    748,120x = 1,593,964 × 1,593,964
  4. Step 4: Simplify right side
    748,120x = 2,540,721,233,296
  5. Step 5: Solve for x
    x = 2,540,721,233,296/748,120
  6. Step 6: Final answer
    x = 3,396,141.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.