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Finding the Third Proportional to 415,474.50 and 918,139.50

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Solution

The third proportional to 415,474.50 and 918,139.50 is: 2,028,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,474.50 : 918,139.50 = 918,139.50 : x
  2. Step 2: Convert to fraction form
    415,474.50/918,139.50 = 918,139.50/x
  3. Step 3: Cross multiply
    415,474.50x = 918,139.50 × 918,139.50
  4. Step 4: Simplify right side
    415,474.50x = 842,980,141,460.25
  5. Step 5: Solve for x
    x = 842,980,141,460.25/415,474.50
  6. Step 6: Final answer
    x = 2,028,957.59

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.