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Finding the Third Proportional to 454,644.75 and 957,214.50

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Solution

The third proportional to 454,644.75 and 957,214.50 is: 2,015,330.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,644.75 : 957,214.50 = 957,214.50 : x
  2. Step 2: Convert to fraction form
    454,644.75/957,214.50 = 957,214.50/x
  3. Step 3: Cross multiply
    454,644.75x = 957,214.50 × 957,214.50
  4. Step 4: Simplify right side
    454,644.75x = 916,259,599,010.25
  5. Step 5: Solve for x
    x = 916,259,599,010.25/454,644.75
  6. Step 6: Final answer
    x = 2,015,330.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.