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Finding the Third Proportional to 584,836 and 1,275,367

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Solution

The third proportional to 584,836 and 1,275,367 is: 2,781,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,836 : 1,275,367 = 1,275,367 : x
  2. Step 2: Convert to fraction form
    584,836/1,275,367 = 1,275,367/x
  3. Step 3: Cross multiply
    584,836x = 1,275,367 × 1,275,367
  4. Step 4: Simplify right side
    584,836x = 1,626,560,984,689
  5. Step 5: Solve for x
    x = 1,626,560,984,689/584,836
  6. Step 6: Final answer
    x = 2,781,225.82

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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.