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Finding the Third Proportional to 584,820 and 1,275,336

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Solution

The third proportional to 584,820 and 1,275,336 is: 2,781,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,820 : 1,275,336 = 1,275,336 : x
  2. Step 2: Convert to fraction form
    584,820/1,275,336 = 1,275,336/x
  3. Step 3: Cross multiply
    584,820x = 1,275,336 × 1,275,336
  4. Step 4: Simplify right side
    584,820x = 1,626,481,912,896
  5. Step 5: Solve for x
    x = 1,626,481,912,896/584,820
  6. Step 6: Final answer
    x = 2,781,166.71

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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.