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Finding the Third Proportional to 737,802 and 1,740,984

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Solution

The third proportional to 737,802 and 1,740,984 is: 4,108,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,802 : 1,740,984 = 1,740,984 : x
  2. Step 2: Convert to fraction form
    737,802/1,740,984 = 1,740,984/x
  3. Step 3: Cross multiply
    737,802x = 1,740,984 × 1,740,984
  4. Step 4: Simplify right side
    737,802x = 3,031,025,288,256
  5. Step 5: Solve for x
    x = 3,031,025,288,256/737,802
  6. Step 6: Final answer
    x = 4,108,182.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.