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Finding the Third Proportional to 351,814 and 829,645

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Solution

The third proportional to 351,814 and 829,645 is: 1,956,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,814 : 829,645 = 829,645 : x
  2. Step 2: Convert to fraction form
    351,814/829,645 = 829,645/x
  3. Step 3: Cross multiply
    351,814x = 829,645 × 829,645
  4. Step 4: Simplify right side
    351,814x = 688,310,826,025
  5. Step 5: Solve for x
    x = 688,310,826,025/351,814
  6. Step 6: Final answer
    x = 1,956,462.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.