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Finding the Third Proportional to 578,610 and 1,291,356

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Solution

The third proportional to 578,610 and 1,291,356 is: 2,882,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,610 : 1,291,356 = 1,291,356 : x
  2. Step 2: Convert to fraction form
    578,610/1,291,356 = 1,291,356/x
  3. Step 3: Cross multiply
    578,610x = 1,291,356 × 1,291,356
  4. Step 4: Simplify right side
    578,610x = 1,667,600,318,736
  5. Step 5: Solve for x
    x = 1,667,600,318,736/578,610
  6. Step 6: Final answer
    x = 2,882,080.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.