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Finding the Third Proportional to 624,285 and 1,343,259

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Solution

The third proportional to 624,285 and 1,343,259 is: 2,890,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,285 : 1,343,259 = 1,343,259 : x
  2. Step 2: Convert to fraction form
    624,285/1,343,259 = 1,343,259/x
  3. Step 3: Cross multiply
    624,285x = 1,343,259 × 1,343,259
  4. Step 4: Simplify right side
    624,285x = 1,804,344,741,081
  5. Step 5: Solve for x
    x = 1,804,344,741,081/624,285
  6. Step 6: Final answer
    x = 2,890,258.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.