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Finding the Third Proportional to 580,683 and 1,214,580

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Solution

The third proportional to 580,683 and 1,214,580 is: 2,540,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,683 : 1,214,580 = 1,214,580 : x
  2. Step 2: Convert to fraction form
    580,683/1,214,580 = 1,214,580/x
  3. Step 3: Cross multiply
    580,683x = 1,214,580 × 1,214,580
  4. Step 4: Simplify right side
    580,683x = 1,475,204,576,400
  5. Step 5: Solve for x
    x = 1,475,204,576,400/580,683
  6. Step 6: Final answer
    x = 2,540,464.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.