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Finding the Third Proportional to 768,185 and 1,678,251.50

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Solution

The third proportional to 768,185 and 1,678,251.50 is: 3,666,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,185 : 1,678,251.50 = 1,678,251.50 : x
  2. Step 2: Convert to fraction form
    768,185/1,678,251.50 = 1,678,251.50/x
  3. Step 3: Cross multiply
    768,185x = 1,678,251.50 × 1,678,251.50
  4. Step 4: Simplify right side
    768,185x = 2,816,528,097,252.25
  5. Step 5: Solve for x
    x = 2,816,528,097,252.25/768,185
  6. Step 6: Final answer
    x = 3,666,471.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.