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Finding the Third Proportional to 763,764 and 1,645,866

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Solution

The third proportional to 763,764 and 1,645,866 is: 3,546,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,764 : 1,645,866 = 1,645,866 : x
  2. Step 2: Convert to fraction form
    763,764/1,645,866 = 1,645,866/x
  3. Step 3: Cross multiply
    763,764x = 1,645,866 × 1,645,866
  4. Step 4: Simplify right side
    763,764x = 2,708,874,889,956
  5. Step 5: Solve for x
    x = 2,708,874,889,956/763,764
  6. Step 6: Final answer
    x = 3,546,743.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.