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Finding the Third Proportional to 605,636 and 929,662

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Solution

The third proportional to 605,636 and 929,662 is: 1,427,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,636 : 929,662 = 929,662 : x
  2. Step 2: Convert to fraction form
    605,636/929,662 = 929,662/x
  3. Step 3: Cross multiply
    605,636x = 929,662 × 929,662
  4. Step 4: Simplify right side
    605,636x = 864,271,434,244
  5. Step 5: Solve for x
    x = 864,271,434,244/605,636
  6. Step 6: Final answer
    x = 1,427,047.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.