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Finding the Third Proportional to 690,462 and 1,476,873

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Solution

The third proportional to 690,462 and 1,476,873 is: 3,158,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,462 : 1,476,873 = 1,476,873 : x
  2. Step 2: Convert to fraction form
    690,462/1,476,873 = 1,476,873/x
  3. Step 3: Cross multiply
    690,462x = 1,476,873 × 1,476,873
  4. Step 4: Simplify right side
    690,462x = 2,181,153,858,129
  5. Step 5: Solve for x
    x = 2,181,153,858,129/690,462
  6. Step 6: Final answer
    x = 3,158,977.41

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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.