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Finding the Third Proportional to 770,682 and 1,227,369

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Solution

The third proportional to 770,682 and 1,227,369 is: 1,954,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,682 : 1,227,369 = 1,227,369 : x
  2. Step 2: Convert to fraction form
    770,682/1,227,369 = 1,227,369/x
  3. Step 3: Cross multiply
    770,682x = 1,227,369 × 1,227,369
  4. Step 4: Simplify right side
    770,682x = 1,506,434,662,161
  5. Step 5: Solve for x
    x = 1,506,434,662,161/770,682
  6. Step 6: Final answer
    x = 1,954,677.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.