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Finding the Third Proportional to 806,801.34 and 1,760,302.97

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Solution

The third proportional to 806,801.34 and 1,760,302.97 is: 3,840,680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,801.34 : 1,760,302.97 = 1,760,302.97 : x
  2. Step 2: Convert to fraction form
    806,801.34/1,760,302.97 = 1,760,302.97/x
  3. Step 3: Cross multiply
    806,801.34x = 1,760,302.97 × 1,760,302.97
  4. Step 4: Simplify right side
    806,801.34x = 3,098,666,541,790.06
  5. Step 5: Solve for x
    x = 3,098,666,541,790.06/806,801.34
  6. Step 6: Final answer
    x = 3,840,680.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.