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Finding the Third Proportional to 768,320 and 1,676,608

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Solution

The third proportional to 768,320 and 1,676,608 is: 3,658,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,320 : 1,676,608 = 1,676,608 : x
  2. Step 2: Convert to fraction form
    768,320/1,676,608 = 1,676,608/x
  3. Step 3: Cross multiply
    768,320x = 1,676,608 × 1,676,608
  4. Step 4: Simplify right side
    768,320x = 2,811,014,385,664
  5. Step 5: Solve for x
    x = 2,811,014,385,664/768,320
  6. Step 6: Final answer
    x = 3,658,650.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.