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Finding the Third Proportional to 1,733,744 and 2,300,499

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Solution

The third proportional to 1,733,744 and 2,300,499 is: 3,052,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,744 : 2,300,499 = 2,300,499 : x
  2. Step 2: Convert to fraction form
    1,733,744/2,300,499 = 2,300,499/x
  3. Step 3: Cross multiply
    1,733,744x = 2,300,499 × 2,300,499
  4. Step 4: Simplify right side
    1,733,744x = 5,292,295,649,001
  5. Step 5: Solve for x
    x = 5,292,295,649,001/1,733,744
  6. Step 6: Final answer
    x = 3,052,524.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.