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Finding the Third Proportional to 748,596 and 1,590,634

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Solution

The third proportional to 748,596 and 1,590,634 is: 3,379,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,596 : 1,590,634 = 1,590,634 : x
  2. Step 2: Convert to fraction form
    748,596/1,590,634 = 1,590,634/x
  3. Step 3: Cross multiply
    748,596x = 1,590,634 × 1,590,634
  4. Step 4: Simplify right side
    748,596x = 2,530,116,521,956
  5. Step 5: Solve for x
    x = 2,530,116,521,956/748,596
  6. Step 6: Final answer
    x = 3,379,815.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.