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Finding the Third Proportional to 748,142 and 1,594,008

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Solution

The third proportional to 748,142 and 1,594,008 is: 3,396,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,142 : 1,594,008 = 1,594,008 : x
  2. Step 2: Convert to fraction form
    748,142/1,594,008 = 1,594,008/x
  3. Step 3: Cross multiply
    748,142x = 1,594,008 × 1,594,008
  4. Step 4: Simplify right side
    748,142x = 2,540,861,504,064
  5. Step 5: Solve for x
    x = 2,540,861,504,064/748,142
  6. Step 6: Final answer
    x = 3,396,228.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.