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Finding the Third Proportional to 601,344 and 1,398,276

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Solution

The third proportional to 601,344 and 1,398,276 is: 3,251,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,344 : 1,398,276 = 1,398,276 : x
  2. Step 2: Convert to fraction form
    601,344/1,398,276 = 1,398,276/x
  3. Step 3: Cross multiply
    601,344x = 1,398,276 × 1,398,276
  4. Step 4: Simplify right side
    601,344x = 1,955,175,772,176
  5. Step 5: Solve for x
    x = 1,955,175,772,176/601,344
  6. Step 6: Final answer
    x = 3,251,343.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.