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Finding the Third Proportional to 468,043.50 and 1,010,667

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Solution

The third proportional to 468,043.50 and 1,010,667 is: 2,182,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,043.50 : 1,010,667 = 1,010,667 : x
  2. Step 2: Convert to fraction form
    468,043.50/1,010,667 = 1,010,667/x
  3. Step 3: Cross multiply
    468,043.50x = 1,010,667 × 1,010,667
  4. Step 4: Simplify right side
    468,043.50x = 1,021,447,784,889
  5. Step 5: Solve for x
    x = 1,021,447,784,889/468,043.50
  6. Step 6: Final answer
    x = 2,182,377.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.