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Finding the Third Proportional to 675,054 and 949,548

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Solution

The third proportional to 675,054 and 949,548 is: 1,335,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,054 : 949,548 = 949,548 : x
  2. Step 2: Convert to fraction form
    675,054/949,548 = 949,548/x
  3. Step 3: Cross multiply
    675,054x = 949,548 × 949,548
  4. Step 4: Simplify right side
    675,054x = 901,641,404,304
  5. Step 5: Solve for x
    x = 901,641,404,304/675,054
  6. Step 6: Final answer
    x = 1,335,658.19

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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.