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Finding the Third Proportional to 580,014 and 1,284,448

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Solution

The third proportional to 580,014 and 1,284,448 is: 2,844,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,014 : 1,284,448 = 1,284,448 : x
  2. Step 2: Convert to fraction form
    580,014/1,284,448 = 1,284,448/x
  3. Step 3: Cross multiply
    580,014x = 1,284,448 × 1,284,448
  4. Step 4: Simplify right side
    580,014x = 1,649,806,664,704
  5. Step 5: Solve for x
    x = 1,649,806,664,704/580,014
  6. Step 6: Final answer
    x = 2,844,425.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.