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Finding the Third Proportional to 477,186.19 and 1,022,679.84

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Solution

The third proportional to 477,186.19 and 1,022,679.84 is: 2,191,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,186.19 : 1,022,679.84 = 1,022,679.84 : x
  2. Step 2: Convert to fraction form
    477,186.19/1,022,679.84 = 1,022,679.84/x
  3. Step 3: Cross multiply
    477,186.19x = 1,022,679.84 × 1,022,679.84
  4. Step 4: Simplify right side
    477,186.19x = 1,045,874,062,812.52
  5. Step 5: Solve for x
    x = 1,045,874,062,812.52/477,186.19
  6. Step 6: Final answer
    x = 2,191,752.59

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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.