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Finding the Third Proportional to 491,405.94 and 1,051,125.75

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Solution

The third proportional to 491,405.94 and 1,051,125.75 is: 2,248,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,405.94 : 1,051,125.75 = 1,051,125.75 : x
  2. Step 2: Convert to fraction form
    491,405.94/1,051,125.75 = 1,051,125.75/x
  3. Step 3: Cross multiply
    491,405.94x = 1,051,125.75 × 1,051,125.75
  4. Step 4: Simplify right side
    491,405.94x = 1,104,865,342,313.06
  5. Step 5: Solve for x
    x = 1,104,865,342,313.06/491,405.94
  6. Step 6: Final answer
    x = 2,248,376.05

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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.