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Finding the Third Proportional to 449,660 and 931,015

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Solution

The third proportional to 449,660 and 931,015 is: 1,927,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,660 : 931,015 = 931,015 : x
  2. Step 2: Convert to fraction form
    449,660/931,015 = 931,015/x
  3. Step 3: Cross multiply
    449,660x = 931,015 × 931,015
  4. Step 4: Simplify right side
    449,660x = 866,788,930,225
  5. Step 5: Solve for x
    x = 866,788,930,225/449,660
  6. Step 6: Final answer
    x = 1,927,654.07

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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.