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Finding the Third Proportional to 854,356.50 and 1,819,143

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Solution

The third proportional to 854,356.50 and 1,819,143 is: 3,873,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,356.50 : 1,819,143 = 1,819,143 : x
  2. Step 2: Convert to fraction form
    854,356.50/1,819,143 = 1,819,143/x
  3. Step 3: Cross multiply
    854,356.50x = 1,819,143 × 1,819,143
  4. Step 4: Simplify right side
    854,356.50x = 3,309,281,254,449
  5. Step 5: Solve for x
    x = 3,309,281,254,449/854,356.50
  6. Step 6: Final answer
    x = 3,873,419.65

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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.