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Finding the Third Proportional to 471,106.13 and 1,030,218.75

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Solution

The third proportional to 471,106.13 and 1,030,218.75 is: 2,252,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,106.13 : 1,030,218.75 = 1,030,218.75 : x
  2. Step 2: Convert to fraction form
    471,106.13/1,030,218.75 = 1,030,218.75/x
  3. Step 3: Cross multiply
    471,106.13x = 1,030,218.75 × 1,030,218.75
  4. Step 4: Simplify right side
    471,106.13x = 1,061,350,672,851.56
  5. Step 5: Solve for x
    x = 1,061,350,672,851.56/471,106.13
  6. Step 6: Final answer
    x = 2,252,890.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.