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Finding the Third Proportional to 770,171 and 1,717,429

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Solution

The third proportional to 770,171 and 1,717,429 is: 3,829,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,171 : 1,717,429 = 1,717,429 : x
  2. Step 2: Convert to fraction form
    770,171/1,717,429 = 1,717,429/x
  3. Step 3: Cross multiply
    770,171x = 1,717,429 × 1,717,429
  4. Step 4: Simplify right side
    770,171x = 2,949,562,370,041
  5. Step 5: Solve for x
    x = 2,949,562,370,041/770,171
  6. Step 6: Final answer
    x = 3,829,749.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.