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Finding the Third Proportional to 486,357.75 and 1,063,018.69

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Solution

The third proportional to 486,357.75 and 1,063,018.69 is: 2,323,410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,357.75 : 1,063,018.69 = 1,063,018.69 : x
  2. Step 2: Convert to fraction form
    486,357.75/1,063,018.69 = 1,063,018.69/x
  3. Step 3: Cross multiply
    486,357.75x = 1,063,018.69 × 1,063,018.69
  4. Step 4: Simplify right side
    486,357.75x = 1,130,008,729,974.22
  5. Step 5: Solve for x
    x = 1,130,008,729,974.22/486,357.75
  6. Step 6: Final answer
    x = 2,323,410.56

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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.