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Finding the Third Proportional to 2,589,864 and 5,639,511

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Solution

The third proportional to 2,589,864 and 5,639,511 is: 12,280,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,864 : 5,639,511 = 5,639,511 : x
  2. Step 2: Convert to fraction form
    2,589,864/5,639,511 = 5,639,511/x
  3. Step 3: Cross multiply
    2,589,864x = 5,639,511 × 5,639,511
  4. Step 4: Simplify right side
    2,589,864x = 31,804,084,319,121
  5. Step 5: Solve for x
    x = 31,804,084,319,121/2,589,864
  6. Step 6: Final answer
    x = 12,280,214.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.