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Finding the Third Proportional to 675,036 and 949,392

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Solution

The third proportional to 675,036 and 949,392 is: 1,335,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,036 : 949,392 = 949,392 : x
  2. Step 2: Convert to fraction form
    675,036/949,392 = 949,392/x
  3. Step 3: Cross multiply
    675,036x = 949,392 × 949,392
  4. Step 4: Simplify right side
    675,036x = 901,345,169,664
  5. Step 5: Solve for x
    x = 901,345,169,664/675,036
  6. Step 6: Final answer
    x = 1,335,254.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.