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Finding the Third Proportional to 961,942.50 and 2,078,068.50

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Solution

The third proportional to 961,942.50 and 2,078,068.50 is: 4,489,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,942.50 : 2,078,068.50 = 2,078,068.50 : x
  2. Step 2: Convert to fraction form
    961,942.50/2,078,068.50 = 2,078,068.50/x
  3. Step 3: Cross multiply
    961,942.50x = 2,078,068.50 × 2,078,068.50
  4. Step 4: Simplify right side
    961,942.50x = 4,318,368,690,692.25
  5. Step 5: Solve for x
    x = 4,318,368,690,692.25/961,942.50
  6. Step 6: Final answer
    x = 4,489,217.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.