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Finding the Third Proportional to 849,945.66 and 1,842,274.13

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Solution

The third proportional to 849,945.66 and 1,842,274.13 is: 3,993,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,945.66 : 1,842,274.13 = 1,842,274.13 : x
  2. Step 2: Convert to fraction form
    849,945.66/1,842,274.13 = 1,842,274.13/x
  3. Step 3: Cross multiply
    849,945.66x = 1,842,274.13 × 1,842,274.13
  4. Step 4: Simplify right side
    849,945.66x = 3,393,973,951,644.52
  5. Step 5: Solve for x
    x = 3,393,973,951,644.52/849,945.66
  6. Step 6: Final answer
    x = 3,993,165.83

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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.