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Finding the Third Proportional to 811,174 and 1,877,817

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Solution

The third proportional to 811,174 and 1,877,817 is: 4,347,028.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,174 : 1,877,817 = 1,877,817 : x
  2. Step 2: Convert to fraction form
    811,174/1,877,817 = 1,877,817/x
  3. Step 3: Cross multiply
    811,174x = 1,877,817 × 1,877,817
  4. Step 4: Simplify right side
    811,174x = 3,526,196,685,489
  5. Step 5: Solve for x
    x = 3,526,196,685,489/811,174
  6. Step 6: Final answer
    x = 4,347,028.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.