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Finding the Third Proportional to 584,828 and 1,275,352

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Solution

The third proportional to 584,828 and 1,275,352 is: 2,781,198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,828 : 1,275,352 = 1,275,352 : x
  2. Step 2: Convert to fraction form
    584,828/1,275,352 = 1,275,352/x
  3. Step 3: Cross multiply
    584,828x = 1,275,352 × 1,275,352
  4. Step 4: Simplify right side
    584,828x = 1,626,522,723,904
  5. Step 5: Solve for x
    x = 1,626,522,723,904/584,828
  6. Step 6: Final answer
    x = 2,781,198.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.