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Finding the Third Proportional to 611,949.94 and 1,308,099.38

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Solution

The third proportional to 611,949.94 and 1,308,099.38 is: 2,796,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,949.94 : 1,308,099.38 = 1,308,099.38 : x
  2. Step 2: Convert to fraction form
    611,949.94/1,308,099.38 = 1,308,099.38/x
  3. Step 3: Cross multiply
    611,949.94x = 1,308,099.38 × 1,308,099.38
  4. Step 4: Simplify right side
    611,949.94x = 1,711,123,974,875.39
  5. Step 5: Solve for x
    x = 1,711,123,974,875.39/611,949.94
  6. Step 6: Final answer
    x = 2,796,182.94

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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.