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Finding the Third Proportional to 832,842.84 and 1,808,387.44

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Solution

The third proportional to 832,842.84 and 1,808,387.44 is: 3,926,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,842.84 : 1,808,387.44 = 1,808,387.44 : x
  2. Step 2: Convert to fraction form
    832,842.84/1,808,387.44 = 1,808,387.44/x
  3. Step 3: Cross multiply
    832,842.84x = 1,808,387.44 × 1,808,387.44
  4. Step 4: Simplify right side
    832,842.84x = 3,270,265,124,107.82
  5. Step 5: Solve for x
    x = 3,270,265,124,107.82/832,842.84
  6. Step 6: Final answer
    x = 3,926,629.31

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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.