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Finding the Third Proportional to 468,094 and 1,008,291

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Solution

The third proportional to 468,094 and 1,008,291 is: 2,171,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,094 : 1,008,291 = 1,008,291 : x
  2. Step 2: Convert to fraction form
    468,094/1,008,291 = 1,008,291/x
  3. Step 3: Cross multiply
    468,094x = 1,008,291 × 1,008,291
  4. Step 4: Simplify right side
    468,094x = 1,016,650,740,681
  5. Step 5: Solve for x
    x = 1,016,650,740,681/468,094
  6. Step 6: Final answer
    x = 2,171,894.41

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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.