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Finding the Third Proportional to 1,545,809 and 2,136,015.75

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Solution

The third proportional to 1,545,809 and 2,136,015.75 is: 2,951,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545,809 : 2,136,015.75 = 2,136,015.75 : x
  2. Step 2: Convert to fraction form
    1,545,809/2,136,015.75 = 2,136,015.75/x
  3. Step 3: Cross multiply
    1,545,809x = 2,136,015.75 × 2,136,015.75
  4. Step 4: Simplify right side
    1,545,809x = 4,562,563,284,248.06
  5. Step 5: Solve for x
    x = 4,562,563,284,248.06/1,545,809
  6. Step 6: Final answer
    x = 2,951,569.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.