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Finding the Third Proportional to 447,030 and 973,860.75

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Solution

The third proportional to 447,030 and 973,860.75 is: 2,121,568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,030 : 973,860.75 = 973,860.75 : x
  2. Step 2: Convert to fraction form
    447,030/973,860.75 = 973,860.75/x
  3. Step 3: Cross multiply
    447,030x = 973,860.75 × 973,860.75
  4. Step 4: Simplify right side
    447,030x = 948,404,760,390.56
  5. Step 5: Solve for x
    x = 948,404,760,390.56/447,030
  6. Step 6: Final answer
    x = 2,121,568.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.