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Finding the Third Proportional to 375,921 and 826,614

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Solution

The third proportional to 375,921 and 826,614 is: 1,817,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,921 : 826,614 = 826,614 : x
  2. Step 2: Convert to fraction form
    375,921/826,614 = 826,614/x
  3. Step 3: Cross multiply
    375,921x = 826,614 × 826,614
  4. Step 4: Simplify right side
    375,921x = 683,290,704,996
  5. Step 5: Solve for x
    x = 683,290,704,996/375,921
  6. Step 6: Final answer
    x = 1,817,644.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.