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Finding the Third Proportional to 453,919.50 and 977,861.25

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Solution

The third proportional to 453,919.50 and 977,861.25 is: 2,106,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,919.50 : 977,861.25 = 977,861.25 : x
  2. Step 2: Convert to fraction form
    453,919.50/977,861.25 = 977,861.25/x
  3. Step 3: Cross multiply
    453,919.50x = 977,861.25 × 977,861.25
  4. Step 4: Simplify right side
    453,919.50x = 956,212,624,251.56
  5. Step 5: Solve for x
    x = 956,212,624,251.56/453,919.50
  6. Step 6: Final answer
    x = 2,106,568.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.