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Finding the Third Proportional to 663,814.30 and 1,424,403.35

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Solution

The third proportional to 663,814.30 and 1,424,403.35 is: 3,056,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,814.30 : 1,424,403.35 = 1,424,403.35 : x
  2. Step 2: Convert to fraction form
    663,814.30/1,424,403.35 = 1,424,403.35/x
  3. Step 3: Cross multiply
    663,814.30x = 1,424,403.35 × 1,424,403.35
  4. Step 4: Simplify right side
    663,814.30x = 2,028,924,907,942.48
  5. Step 5: Solve for x
    x = 2,028,924,907,942.48/663,814.30
  6. Step 6: Final answer
    x = 3,056,464.59

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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.