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Finding the Third Proportional to 822,084.19 and 1,793,172.94

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Solution

The third proportional to 822,084.19 and 1,793,172.94 is: 3,911,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,084.19 : 1,793,172.94 = 1,793,172.94 : x
  2. Step 2: Convert to fraction form
    822,084.19/1,793,172.94 = 1,793,172.94/x
  3. Step 3: Cross multiply
    822,084.19x = 1,793,172.94 × 1,793,172.94
  4. Step 4: Simplify right side
    822,084.19x = 3,215,469,183,782.38
  5. Step 5: Solve for x
    x = 3,215,469,183,782.38/822,084.19
  6. Step 6: Final answer
    x = 3,911,362.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.