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Finding the Third Proportional to 2,259,377.91 and 3,442,008.23

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Solution

The third proportional to 2,259,377.91 and 3,442,008.23 is: 5,243,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259,377.91 : 3,442,008.23 = 3,442,008.23 : x
  2. Step 2: Convert to fraction form
    2,259,377.91/3,442,008.23 = 3,442,008.23/x
  3. Step 3: Cross multiply
    2,259,377.91x = 3,442,008.23 × 3,442,008.23
  4. Step 4: Simplify right side
    2,259,377.91x = 11,847,420,685,505.30
  5. Step 5: Solve for x
    x = 11,847,420,685,505.30/2,259,377.91
  6. Step 6: Final answer
    x = 5,243,664.93

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.