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Finding the Third Proportional to 768,416 and 1,655,200

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Solution

The third proportional to 768,416 and 1,655,200 is: 3,565,369.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,416 : 1,655,200 = 1,655,200 : x
  2. Step 2: Convert to fraction form
    768,416/1,655,200 = 1,655,200/x
  3. Step 3: Cross multiply
    768,416x = 1,655,200 × 1,655,200
  4. Step 4: Simplify right side
    768,416x = 2,739,687,040,000
  5. Step 5: Solve for x
    x = 2,739,687,040,000/768,416
  6. Step 6: Final answer
    x = 3,565,369.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.