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Finding the Third Proportional to 673,978 and 1,442,725

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Solution

The third proportional to 673,978 and 1,442,725 is: 3,088,313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,978 : 1,442,725 = 1,442,725 : x
  2. Step 2: Convert to fraction form
    673,978/1,442,725 = 1,442,725/x
  3. Step 3: Cross multiply
    673,978x = 1,442,725 × 1,442,725
  4. Step 4: Simplify right side
    673,978x = 2,081,455,425,625
  5. Step 5: Solve for x
    x = 2,081,455,425,625/673,978
  6. Step 6: Final answer
    x = 3,088,313.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.