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Finding the Third Proportional to 2,725,612.50 and 5,902,596

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Solution

The third proportional to 2,725,612.50 and 5,902,596 is: 12,782,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725,612.50 : 5,902,596 = 5,902,596 : x
  2. Step 2: Convert to fraction form
    2,725,612.50/5,902,596 = 5,902,596/x
  3. Step 3: Cross multiply
    2,725,612.50x = 5,902,596 × 5,902,596
  4. Step 4: Simplify right side
    2,725,612.50x = 34,840,639,539,216
  5. Step 5: Solve for x
    x = 34,840,639,539,216/2,725,612.50
  6. Step 6: Final answer
    x = 12,782,682.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.