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Finding the Third Proportional to 1,286,840 and 2,785,504

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Solution

The third proportional to 1,286,840 and 2,785,504 is: 6,029,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,840 : 2,785,504 = 2,785,504 : x
  2. Step 2: Convert to fraction form
    1,286,840/2,785,504 = 2,785,504/x
  3. Step 3: Cross multiply
    1,286,840x = 2,785,504 × 2,785,504
  4. Step 4: Simplify right side
    1,286,840x = 7,759,032,534,016
  5. Step 5: Solve for x
    x = 7,759,032,534,016/1,286,840
  6. Step 6: Final answer
    x = 6,029,523.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.