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Finding the Third Proportional to 351,878 and 829,817

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Solution

The third proportional to 351,878 and 829,817 is: 1,956,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,878 : 829,817 = 829,817 : x
  2. Step 2: Convert to fraction form
    351,878/829,817 = 829,817/x
  3. Step 3: Cross multiply
    351,878x = 829,817 × 829,817
  4. Step 4: Simplify right side
    351,878x = 688,596,253,489
  5. Step 5: Solve for x
    x = 688,596,253,489/351,878
  6. Step 6: Final answer
    x = 1,956,917.61

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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.