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Finding the Third Proportional to 5,794,857 and 12,598,617

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Solution

The third proportional to 5,794,857 and 12,598,617 is: 27,390,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794,857 : 12,598,617 = 12,598,617 : x
  2. Step 2: Convert to fraction form
    5,794,857/12,598,617 = 12,598,617/x
  3. Step 3: Cross multiply
    5,794,857x = 12,598,617 × 12,598,617
  4. Step 4: Simplify right side
    5,794,857x = 158,725,150,312,689
  5. Step 5: Solve for x
    x = 158,725,150,312,689/5,794,857
  6. Step 6: Final answer
    x = 27,390,693.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.