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Finding the Third Proportional to 770,353 and 1,717,731

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Solution

The third proportional to 770,353 and 1,717,731 is: 3,830,191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,353 : 1,717,731 = 1,717,731 : x
  2. Step 2: Convert to fraction form
    770,353/1,717,731 = 1,717,731/x
  3. Step 3: Cross multiply
    770,353x = 1,717,731 × 1,717,731
  4. Step 4: Simplify right side
    770,353x = 2,950,599,788,361
  5. Step 5: Solve for x
    x = 2,950,599,788,361/770,353
  6. Step 6: Final answer
    x = 3,830,191.86

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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.