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Finding the Third Proportional to 768,738 and 1,655,571

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Solution

The third proportional to 768,738 and 1,655,571 is: 3,565,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,738 : 1,655,571 = 1,655,571 : x
  2. Step 2: Convert to fraction form
    768,738/1,655,571 = 1,655,571/x
  3. Step 3: Cross multiply
    768,738x = 1,655,571 × 1,655,571
  4. Step 4: Simplify right side
    768,738x = 2,740,915,336,041
  5. Step 5: Solve for x
    x = 2,740,915,336,041/768,738
  6. Step 6: Final answer
    x = 3,565,473.98

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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.