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Finding the Third Proportional to 656,466 and 1,413,372

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Solution

The third proportional to 656,466 and 1,413,372 is: 3,042,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,466 : 1,413,372 = 1,413,372 : x
  2. Step 2: Convert to fraction form
    656,466/1,413,372 = 1,413,372/x
  3. Step 3: Cross multiply
    656,466x = 1,413,372 × 1,413,372
  4. Step 4: Simplify right side
    656,466x = 1,997,620,410,384
  5. Step 5: Solve for x
    x = 1,997,620,410,384/656,466
  6. Step 6: Final answer
    x = 3,042,991.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.