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Finding the Third Proportional to 1,843,341.75 and 2,821,145.63

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Solution

The third proportional to 1,843,341.75 and 2,821,145.63 is: 4,317,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,341.75 : 2,821,145.63 = 2,821,145.63 : x
  2. Step 2: Convert to fraction form
    1,843,341.75/2,821,145.63 = 2,821,145.63/x
  3. Step 3: Cross multiply
    1,843,341.75x = 2,821,145.63 × 2,821,145.63
  4. Step 4: Simplify right side
    1,843,341.75x = 7,958,862,637,456.64
  5. Step 5: Solve for x
    x = 7,958,862,637,456.64/1,843,341.75
  6. Step 6: Final answer
    x = 4,317,627.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.