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Finding the Third Proportional to 2,457,339.75 and 3,846,444.75

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Solution

The third proportional to 2,457,339.75 and 3,846,444.75 is: 6,020,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,339.75 : 3,846,444.75 = 3,846,444.75 : x
  2. Step 2: Convert to fraction form
    2,457,339.75/3,846,444.75 = 3,846,444.75/x
  3. Step 3: Cross multiply
    2,457,339.75x = 3,846,444.75 × 3,846,444.75
  4. Step 4: Simplify right side
    2,457,339.75x = 14,795,137,214,802.56
  5. Step 5: Solve for x
    x = 14,795,137,214,802.56/2,457,339.75
  6. Step 6: Final answer
    x = 6,020,794.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.