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Finding the Third Proportional to 822,126 and 1,793,651

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Solution

The third proportional to 822,126 and 1,793,651 is: 3,913,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,126 : 1,793,651 = 1,793,651 : x
  2. Step 2: Convert to fraction form
    822,126/1,793,651 = 1,793,651/x
  3. Step 3: Cross multiply
    822,126x = 1,793,651 × 1,793,651
  4. Step 4: Simplify right side
    822,126x = 3,217,183,909,801
  5. Step 5: Solve for x
    x = 3,217,183,909,801/822,126
  6. Step 6: Final answer
    x = 3,913,249.20

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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.