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Finding the Third Proportional to 683,519.63 and 1,495,763.44

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Solution

The third proportional to 683,519.63 and 1,495,763.44 is: 3,273,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,519.63 : 1,495,763.44 = 1,495,763.44 : x
  2. Step 2: Convert to fraction form
    683,519.63/1,495,763.44 = 1,495,763.44/x
  3. Step 3: Cross multiply
    683,519.63x = 1,495,763.44 × 1,495,763.44
  4. Step 4: Simplify right side
    683,519.63x = 2,237,308,260,961.82
  5. Step 5: Solve for x
    x = 2,237,308,260,961.82/683,519.63
  6. Step 6: Final answer
    x = 3,273,217.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.