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Finding the Third Proportional to 449,127 and 974,540.25

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Solution

The third proportional to 449,127 and 974,540.25 is: 2,114,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,127 : 974,540.25 = 974,540.25 : x
  2. Step 2: Convert to fraction form
    449,127/974,540.25 = 974,540.25/x
  3. Step 3: Cross multiply
    449,127x = 974,540.25 × 974,540.25
  4. Step 4: Simplify right side
    449,127x = 949,728,698,870.06
  5. Step 5: Solve for x
    x = 949,728,698,870.06/449,127
  6. Step 6: Final answer
    x = 2,114,610.56

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