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Finding the Third Proportional to 475,420.50 and 1,121,148.75

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Solution

The third proportional to 475,420.50 and 1,121,148.75 is: 2,643,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,420.50 : 1,121,148.75 = 1,121,148.75 : x
  2. Step 2: Convert to fraction form
    475,420.50/1,121,148.75 = 1,121,148.75/x
  3. Step 3: Cross multiply
    475,420.50x = 1,121,148.75 × 1,121,148.75
  4. Step 4: Simplify right side
    475,420.50x = 1,256,974,519,626.56
  5. Step 5: Solve for x
    x = 1,256,974,519,626.56/475,420.50
  6. Step 6: Final answer
    x = 2,643,921.58

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.