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Finding the Third Proportional to 631,322 and 1,351,462

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Solution

The third proportional to 631,322 and 1,351,462 is: 2,893,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,322 : 1,351,462 = 1,351,462 : x
  2. Step 2: Convert to fraction form
    631,322/1,351,462 = 1,351,462/x
  3. Step 3: Cross multiply
    631,322x = 1,351,462 × 1,351,462
  4. Step 4: Simplify right side
    631,322x = 1,826,449,537,444
  5. Step 5: Solve for x
    x = 1,826,449,537,444/631,322
  6. Step 6: Final answer
    x = 2,893,055.43

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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.