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Finding the Third Proportional to 576,828 and 1,242,402

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Solution

The third proportional to 576,828 and 1,242,402 is: 2,675,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,828 : 1,242,402 = 1,242,402 : x
  2. Step 2: Convert to fraction form
    576,828/1,242,402 = 1,242,402/x
  3. Step 3: Cross multiply
    576,828x = 1,242,402 × 1,242,402
  4. Step 4: Simplify right side
    576,828x = 1,543,562,729,604
  5. Step 5: Solve for x
    x = 1,543,562,729,604/576,828
  6. Step 6: Final answer
    x = 2,675,949.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.