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Finding the Third Proportional to 826,809 and 1,771,713

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Solution

The third proportional to 826,809 and 1,771,713 is: 3,796,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,809 : 1,771,713 = 1,771,713 : x
  2. Step 2: Convert to fraction form
    826,809/1,771,713 = 1,771,713/x
  3. Step 3: Cross multiply
    826,809x = 1,771,713 × 1,771,713
  4. Step 4: Simplify right side
    826,809x = 3,138,966,954,369
  5. Step 5: Solve for x
    x = 3,138,966,954,369/826,809
  6. Step 6: Final answer
    x = 3,796,483.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.