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Finding the Third Proportional to 476,401.50 and 1,021,882.50

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Solution

The third proportional to 476,401.50 and 1,021,882.50 is: 2,191,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,401.50 : 1,021,882.50 = 1,021,882.50 : x
  2. Step 2: Convert to fraction form
    476,401.50/1,021,882.50 = 1,021,882.50/x
  3. Step 3: Cross multiply
    476,401.50x = 1,021,882.50 × 1,021,882.50
  4. Step 4: Simplify right side
    476,401.50x = 1,044,243,843,806.25
  5. Step 5: Solve for x
    x = 1,044,243,843,806.25/476,401.50
  6. Step 6: Final answer
    x = 2,191,940.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.