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Finding the Third Proportional to 581,570 and 1,280,212

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Solution

The third proportional to 581,570 and 1,280,212 is: 2,818,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,570 : 1,280,212 = 1,280,212 : x
  2. Step 2: Convert to fraction form
    581,570/1,280,212 = 1,280,212/x
  3. Step 3: Cross multiply
    581,570x = 1,280,212 × 1,280,212
  4. Step 4: Simplify right side
    581,570x = 1,638,942,764,944
  5. Step 5: Solve for x
    x = 1,638,942,764,944/581,570
  6. Step 6: Final answer
    x = 2,818,134.99

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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.