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Finding the Third Proportional to 806,666.63 and 1,770,796.13

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Solution

The third proportional to 806,666.63 and 1,770,796.13 is: 3,887,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,666.63 : 1,770,796.13 = 1,770,796.13 : x
  2. Step 2: Convert to fraction form
    806,666.63/1,770,796.13 = 1,770,796.13/x
  3. Step 3: Cross multiply
    806,666.63x = 1,770,796.13 × 1,770,796.13
  4. Step 4: Simplify right side
    806,666.63x = 3,135,718,916,315.02
  5. Step 5: Solve for x
    x = 3,135,718,916,315.02/806,666.63
  6. Step 6: Final answer
    x = 3,887,255.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.