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Finding the Third Proportional to 763,854 and 1,680,244

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Solution

The third proportional to 763,854 and 1,680,244 is: 3,696,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,854 : 1,680,244 = 1,680,244 : x
  2. Step 2: Convert to fraction form
    763,854/1,680,244 = 1,680,244/x
  3. Step 3: Cross multiply
    763,854x = 1,680,244 × 1,680,244
  4. Step 4: Simplify right side
    763,854x = 2,823,219,899,536
  5. Step 5: Solve for x
    x = 2,823,219,899,536/763,854
  6. Step 6: Final answer
    x = 3,696,020.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.