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Finding the Third Proportional to 749,310.75 and 1,618,339.50

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Solution

The third proportional to 749,310.75 and 1,618,339.50 is: 3,495,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,310.75 : 1,618,339.50 = 1,618,339.50 : x
  2. Step 2: Convert to fraction form
    749,310.75/1,618,339.50 = 1,618,339.50/x
  3. Step 3: Cross multiply
    749,310.75x = 1,618,339.50 × 1,618,339.50
  4. Step 4: Simplify right side
    749,310.75x = 2,619,022,737,260.25
  5. Step 5: Solve for x
    x = 2,619,022,737,260.25/749,310.75
  6. Step 6: Final answer
    x = 3,495,242.44

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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.