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Finding the Third Proportional to 570,708 and 1,215,144

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Solution

The third proportional to 570,708 and 1,215,144 is: 2,587,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,708 : 1,215,144 = 1,215,144 : x
  2. Step 2: Convert to fraction form
    570,708/1,215,144 = 1,215,144/x
  3. Step 3: Cross multiply
    570,708x = 1,215,144 × 1,215,144
  4. Step 4: Simplify right side
    570,708x = 1,476,574,940,736
  5. Step 5: Solve for x
    x = 1,476,574,940,736/570,708
  6. Step 6: Final answer
    x = 2,587,268.69

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.