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Finding the Third Proportional to 2,573,807 and 5,489,605

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Solution

The third proportional to 2,573,807 and 5,489,605 is: 11,708,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573,807 : 5,489,605 = 5,489,605 : x
  2. Step 2: Convert to fraction form
    2,573,807/5,489,605 = 5,489,605/x
  3. Step 3: Cross multiply
    2,573,807x = 5,489,605 × 5,489,605
  4. Step 4: Simplify right side
    2,573,807x = 30,135,763,056,025
  5. Step 5: Solve for x
    x = 30,135,763,056,025/2,573,807
  6. Step 6: Final answer
    x = 11,708,633.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.