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Finding the Third Proportional to 469,716.25 and 1,047,007

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Solution

The third proportional to 469,716.25 and 1,047,007 is: 2,333,799.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,716.25 : 1,047,007 = 1,047,007 : x
  2. Step 2: Convert to fraction form
    469,716.25/1,047,007 = 1,047,007/x
  3. Step 3: Cross multiply
    469,716.25x = 1,047,007 × 1,047,007
  4. Step 4: Simplify right side
    469,716.25x = 1,096,223,658,049
  5. Step 5: Solve for x
    x = 1,096,223,658,049/469,716.25
  6. Step 6: Final answer
    x = 2,333,799.73

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.