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Finding the Third Proportional to 542,307.66 and 1,180,873.69

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Solution

The third proportional to 542,307.66 and 1,180,873.69 is: 2,571,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,307.66 : 1,180,873.69 = 1,180,873.69 : x
  2. Step 2: Convert to fraction form
    542,307.66/1,180,873.69 = 1,180,873.69/x
  3. Step 3: Cross multiply
    542,307.66x = 1,180,873.69 × 1,180,873.69
  4. Step 4: Simplify right side
    542,307.66x = 1,394,462,665,829.85
  5. Step 5: Solve for x
    x = 1,394,462,665,829.85/542,307.66
  6. Step 6: Final answer
    x = 2,571,349.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.