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Finding the Third Proportional to 823,020 and 1,684,175

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Solution

The third proportional to 823,020 and 1,684,175 is: 3,446,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,020 : 1,684,175 = 1,684,175 : x
  2. Step 2: Convert to fraction form
    823,020/1,684,175 = 1,684,175/x
  3. Step 3: Cross multiply
    823,020x = 1,684,175 × 1,684,175
  4. Step 4: Simplify right side
    823,020x = 2,836,445,430,625
  5. Step 5: Solve for x
    x = 2,836,445,430,625/823,020
  6. Step 6: Final answer
    x = 3,446,387.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.