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Finding the Third Proportional to 1,349,310.66 and 3,185,254.44

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Solution

The third proportional to 1,349,310.66 and 3,185,254.44 is: 7,519,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,310.66 : 3,185,254.44 = 3,185,254.44 : x
  2. Step 2: Convert to fraction form
    1,349,310.66/3,185,254.44 = 3,185,254.44/x
  3. Step 3: Cross multiply
    1,349,310.66x = 3,185,254.44 × 3,185,254.44
  4. Step 4: Simplify right side
    1,349,310.66x = 10,145,845,856,497.92
  5. Step 5: Solve for x
    x = 10,145,845,856,497.92/1,349,310.66
  6. Step 6: Final answer
    x = 7,519,280.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.