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Finding the Third Proportional to 2,584,430 and 5,682,292

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Solution

The third proportional to 2,584,430 and 5,682,292 is: 12,493,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584,430 : 5,682,292 = 5,682,292 : x
  2. Step 2: Convert to fraction form
    2,584,430/5,682,292 = 5,682,292/x
  3. Step 3: Cross multiply
    2,584,430x = 5,682,292 × 5,682,292
  4. Step 4: Simplify right side
    2,584,430x = 32,288,442,373,264
  5. Step 5: Solve for x
    x = 32,288,442,373,264/2,584,430
  6. Step 6: Final answer
    x = 12,493,448.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.