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Finding the Third Proportional to 973,108 and 2,090,147

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Solution

The third proportional to 973,108 and 2,090,147 is: 4,489,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,108 : 2,090,147 = 2,090,147 : x
  2. Step 2: Convert to fraction form
    973,108/2,090,147 = 2,090,147/x
  3. Step 3: Cross multiply
    973,108x = 2,090,147 × 2,090,147
  4. Step 4: Simplify right side
    973,108x = 4,368,714,481,609
  5. Step 5: Solve for x
    x = 4,368,714,481,609/973,108
  6. Step 6: Final answer
    x = 4,489,444.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.