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Finding the Third Proportional to 659,055 and 1,438,395

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Solution

The third proportional to 659,055 and 1,438,395 is: 3,139,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,055 : 1,438,395 = 1,438,395 : x
  2. Step 2: Convert to fraction form
    659,055/1,438,395 = 1,438,395/x
  3. Step 3: Cross multiply
    659,055x = 1,438,395 × 1,438,395
  4. Step 4: Simplify right side
    659,055x = 2,068,980,176,025
  5. Step 5: Solve for x
    x = 2,068,980,176,025/659,055
  6. Step 6: Final answer
    x = 3,139,313.37

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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.