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Finding the Third Proportional to 605,781 and 1,321,590

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Solution

The third proportional to 605,781 and 1,321,590 is: 2,883,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,781 : 1,321,590 = 1,321,590 : x
  2. Step 2: Convert to fraction form
    605,781/1,321,590 = 1,321,590/x
  3. Step 3: Cross multiply
    605,781x = 1,321,590 × 1,321,590
  4. Step 4: Simplify right side
    605,781x = 1,746,600,128,100
  5. Step 5: Solve for x
    x = 1,746,600,128,100/605,781
  6. Step 6: Final answer
    x = 2,883,220.39

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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.