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Finding the Third Proportional to 769,477 and 1,669,364

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Solution

The third proportional to 769,477 and 1,669,364 is: 3,621,649.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,477 : 1,669,364 = 1,669,364 : x
  2. Step 2: Convert to fraction form
    769,477/1,669,364 = 1,669,364/x
  3. Step 3: Cross multiply
    769,477x = 1,669,364 × 1,669,364
  4. Step 4: Simplify right side
    769,477x = 2,786,776,164,496
  5. Step 5: Solve for x
    x = 2,786,776,164,496/769,477
  6. Step 6: Final answer
    x = 3,621,649.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.