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Finding the Third Proportional to 673,738 and 1,010,606

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Solution

The third proportional to 673,738 and 1,010,606 is: 1,515,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,738 : 1,010,606 = 1,010,606 : x
  2. Step 2: Convert to fraction form
    673,738/1,010,606 = 1,010,606/x
  3. Step 3: Cross multiply
    673,738x = 1,010,606 × 1,010,606
  4. Step 4: Simplify right side
    673,738x = 1,021,324,487,236
  5. Step 5: Solve for x
    x = 1,021,324,487,236/673,738
  6. Step 6: Final answer
    x = 1,515,907.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.