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Finding the Third Proportional to 601,276 and 1,252,304

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Solution

The third proportional to 601,276 and 1,252,304 is: 2,608,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,276 : 1,252,304 = 1,252,304 : x
  2. Step 2: Convert to fraction form
    601,276/1,252,304 = 1,252,304/x
  3. Step 3: Cross multiply
    601,276x = 1,252,304 × 1,252,304
  4. Step 4: Simplify right side
    601,276x = 1,568,265,308,416
  5. Step 5: Solve for x
    x = 1,568,265,308,416/601,276
  6. Step 6: Final answer
    x = 2,608,228.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.