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Finding the Third Proportional to 822,151 and 1,793,315

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Solution

The third proportional to 822,151 and 1,793,315 is: 3,911,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,151 : 1,793,315 = 1,793,315 : x
  2. Step 2: Convert to fraction form
    822,151/1,793,315 = 1,793,315/x
  3. Step 3: Cross multiply
    822,151x = 1,793,315 × 1,793,315
  4. Step 4: Simplify right side
    822,151x = 3,215,978,689,225
  5. Step 5: Solve for x
    x = 3,215,978,689,225/822,151
  6. Step 6: Final answer
    x = 3,911,664.27

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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.