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Finding the Third Proportional to 415,278.84 and 888,141.09

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Solution

The third proportional to 415,278.84 and 888,141.09 is: 1,899,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,278.84 : 888,141.09 = 888,141.09 : x
  2. Step 2: Convert to fraction form
    415,278.84/888,141.09 = 888,141.09/x
  3. Step 3: Cross multiply
    415,278.84x = 888,141.09 × 888,141.09
  4. Step 4: Simplify right side
    415,278.84x = 788,794,602,407.45
  5. Step 5: Solve for x
    x = 788,794,602,407.45/415,278.84
  6. Step 6: Final answer
    x = 1,899,433.63

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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.