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Finding the Third Proportional to 424,185.50 and 909,091.50

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Solution

The third proportional to 424,185.50 and 909,091.50 is: 1,948,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,185.50 : 909,091.50 = 909,091.50 : x
  2. Step 2: Convert to fraction form
    424,185.50/909,091.50 = 909,091.50/x
  3. Step 3: Cross multiply
    424,185.50x = 909,091.50 × 909,091.50
  4. Step 4: Simplify right side
    424,185.50x = 826,447,355,372.25
  5. Step 5: Solve for x
    x = 826,447,355,372.25/424,185.50
  6. Step 6: Final answer
    x = 1,948,315.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.