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Finding the Third Proportional to 656,456 and 1,413,351

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Solution

The third proportional to 656,456 and 1,413,351 is: 3,042,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,456 : 1,413,351 = 1,413,351 : x
  2. Step 2: Convert to fraction form
    656,456/1,413,351 = 1,413,351/x
  3. Step 3: Cross multiply
    656,456x = 1,413,351 × 1,413,351
  4. Step 4: Simplify right side
    656,456x = 1,997,561,049,201
  5. Step 5: Solve for x
    x = 1,997,561,049,201/656,456
  6. Step 6: Final answer
    x = 3,042,947.36

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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.