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Finding the Third Proportional to 783,878 and 1,145,568

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Solution

The third proportional to 783,878 and 1,145,568 is: 1,674,145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,878 : 1,145,568 = 1,145,568 : x
  2. Step 2: Convert to fraction form
    783,878/1,145,568 = 1,145,568/x
  3. Step 3: Cross multiply
    783,878x = 1,145,568 × 1,145,568
  4. Step 4: Simplify right side
    783,878x = 1,312,326,042,624
  5. Step 5: Solve for x
    x = 1,312,326,042,624/783,878
  6. Step 6: Final answer
    x = 1,674,145.78

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.