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Finding the Third Proportional to 605,614 and 1,314,258

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Solution

The third proportional to 605,614 and 1,314,258 is: 2,852,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,614 : 1,314,258 = 1,314,258 : x
  2. Step 2: Convert to fraction form
    605,614/1,314,258 = 1,314,258/x
  3. Step 3: Cross multiply
    605,614x = 1,314,258 × 1,314,258
  4. Step 4: Simplify right side
    605,614x = 1,727,274,090,564
  5. Step 5: Solve for x
    x = 1,727,274,090,564/605,614
  6. Step 6: Final answer
    x = 2,852,103.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.