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Finding the Third Proportional to 429,948 and 911,148.75

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Solution

The third proportional to 429,948 and 911,148.75 is: 1,930,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,948 : 911,148.75 = 911,148.75 : x
  2. Step 2: Convert to fraction form
    429,948/911,148.75 = 911,148.75/x
  3. Step 3: Cross multiply
    429,948x = 911,148.75 × 911,148.75
  4. Step 4: Simplify right side
    429,948x = 830,192,044,626.56
  5. Step 5: Solve for x
    x = 830,192,044,626.56/429,948
  6. Step 6: Final answer
    x = 1,930,912.68

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.