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Finding the Third Proportional to 822,135 and 1,793,670

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Solution

The third proportional to 822,135 and 1,793,670 is: 3,913,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,135 : 1,793,670 = 1,793,670 : x
  2. Step 2: Convert to fraction form
    822,135/1,793,670 = 1,793,670/x
  3. Step 3: Cross multiply
    822,135x = 1,793,670 × 1,793,670
  4. Step 4: Simplify right side
    822,135x = 3,217,252,068,900
  5. Step 5: Solve for x
    x = 3,217,252,068,900/822,135
  6. Step 6: Final answer
    x = 3,913,289.26

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