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Finding the Third Proportional to 692,614 and 1,440,644

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Solution

The third proportional to 692,614 and 1,440,644 is: 2,996,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,614 : 1,440,644 = 1,440,644 : x
  2. Step 2: Convert to fraction form
    692,614/1,440,644 = 1,440,644/x
  3. Step 3: Cross multiply
    692,614x = 1,440,644 × 1,440,644
  4. Step 4: Simplify right side
    692,614x = 2,075,455,134,736
  5. Step 5: Solve for x
    x = 2,075,455,134,736/692,614
  6. Step 6: Final answer
    x = 2,996,553.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.