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Finding the Third Proportional to 567,873 and 1,214,539

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Solution

The third proportional to 567,873 and 1,214,539 is: 2,597,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,873 : 1,214,539 = 1,214,539 : x
  2. Step 2: Convert to fraction form
    567,873/1,214,539 = 1,214,539/x
  3. Step 3: Cross multiply
    567,873x = 1,214,539 × 1,214,539
  4. Step 4: Simplify right side
    567,873x = 1,475,104,982,521
  5. Step 5: Solve for x
    x = 1,475,104,982,521/567,873
  6. Step 6: Final answer
    x = 2,597,596.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.