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Finding the Third Proportional to 1,617,892.50 and 3,510,799.50

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Solution

The third proportional to 1,617,892.50 and 3,510,799.50 is: 7,618,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,892.50 : 3,510,799.50 = 3,510,799.50 : x
  2. Step 2: Convert to fraction form
    1,617,892.50/3,510,799.50 = 3,510,799.50/x
  3. Step 3: Cross multiply
    1,617,892.50x = 3,510,799.50 × 3,510,799.50
  4. Step 4: Simplify right side
    1,617,892.50x = 12,325,713,129,200.25
  5. Step 5: Solve for x
    x = 12,325,713,129,200.25/1,617,892.50
  6. Step 6: Final answer
    x = 7,618,375.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.