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Finding the Third Proportional to 2,594,617.31 and 5,677,953.19

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Solution

The third proportional to 2,594,617.31 and 5,677,953.19 is: 12,425,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,617.31 : 5,677,953.19 = 5,677,953.19 : x
  2. Step 2: Convert to fraction form
    2,594,617.31/5,677,953.19 = 5,677,953.19/x
  3. Step 3: Cross multiply
    2,594,617.31x = 5,677,953.19 × 5,677,953.19
  4. Step 4: Simplify right side
    2,594,617.31x = 32,239,152,399,441.41
  5. Step 5: Solve for x
    x = 32,239,152,399,441.41/2,594,617.31
  6. Step 6: Final answer
    x = 12,425,397.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.