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Finding the Third Proportional to 2,282,570 and 5,398,025

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Solution

The third proportional to 2,282,570 and 5,398,025 is: 12,765,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282,570 : 5,398,025 = 5,398,025 : x
  2. Step 2: Convert to fraction form
    2,282,570/5,398,025 = 5,398,025/x
  3. Step 3: Cross multiply
    2,282,570x = 5,398,025 × 5,398,025
  4. Step 4: Simplify right side
    2,282,570x = 29,138,673,900,625
  5. Step 5: Solve for x
    x = 29,138,673,900,625/2,282,570
  6. Step 6: Final answer
    x = 12,765,730.69

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.