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Finding the Third Proportional to 1,902,771 and 2,609,212.50

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Solution

The third proportional to 1,902,771 and 2,609,212.50 is: 3,577,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,771 : 2,609,212.50 = 2,609,212.50 : x
  2. Step 2: Convert to fraction form
    1,902,771/2,609,212.50 = 2,609,212.50/x
  3. Step 3: Cross multiply
    1,902,771x = 2,609,212.50 × 2,609,212.50
  4. Step 4: Simplify right side
    1,902,771x = 6,807,989,870,156.25
  5. Step 5: Solve for x
    x = 6,807,989,870,156.25/1,902,771
  6. Step 6: Final answer
    x = 3,577,934.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.