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Finding the Third Proportional to 449,662 and 931,019

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Solution

The third proportional to 449,662 and 931,019 is: 1,927,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,662 : 931,019 = 931,019 : x
  2. Step 2: Convert to fraction form
    449,662/931,019 = 931,019/x
  3. Step 3: Cross multiply
    449,662x = 931,019 × 931,019
  4. Step 4: Simplify right side
    449,662x = 866,796,378,361
  5. Step 5: Solve for x
    x = 866,796,378,361/449,662
  6. Step 6: Final answer
    x = 1,927,662.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.