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Finding the Third Proportional to 588,387 and 1,270,086

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Solution

The third proportional to 588,387 and 1,270,086 is: 2,741,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,387 : 1,270,086 = 1,270,086 : x
  2. Step 2: Convert to fraction form
    588,387/1,270,086 = 1,270,086/x
  3. Step 3: Cross multiply
    588,387x = 1,270,086 × 1,270,086
  4. Step 4: Simplify right side
    588,387x = 1,613,118,447,396
  5. Step 5: Solve for x
    x = 1,613,118,447,396/588,387
  6. Step 6: Final answer
    x = 2,741,594.30

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Why These Related Problems?

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