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Finding the Third Proportional to 770,340 and 1,717,710

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Solution

The third proportional to 770,340 and 1,717,710 is: 3,830,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,340 : 1,717,710 = 1,717,710 : x
  2. Step 2: Convert to fraction form
    770,340/1,717,710 = 1,717,710/x
  3. Step 3: Cross multiply
    770,340x = 1,717,710 × 1,717,710
  4. Step 4: Simplify right side
    770,340x = 2,950,527,644,100
  5. Step 5: Solve for x
    x = 2,950,527,644,100/770,340
  6. Step 6: Final answer
    x = 3,830,162.84

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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.