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Finding the Third Proportional to 1,276,266.38 and 1,975,939.31

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Solution

The third proportional to 1,276,266.38 and 1,975,939.31 is: 3,059,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,266.38 : 1,975,939.31 = 1,975,939.31 : x
  2. Step 2: Convert to fraction form
    1,276,266.38/1,975,939.31 = 1,975,939.31/x
  3. Step 3: Cross multiply
    1,276,266.38x = 1,975,939.31 × 1,975,939.31
  4. Step 4: Simplify right side
    1,276,266.38x = 3,904,336,166,682.97
  5. Step 5: Solve for x
    x = 3,904,336,166,682.97/1,276,266.38
  6. Step 6: Final answer
    x = 3,059,185.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.