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Finding the Third Proportional to 822,154 and 1,793,320

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Solution

The third proportional to 822,154 and 1,793,320 is: 3,911,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,154 : 1,793,320 = 1,793,320 : x
  2. Step 2: Convert to fraction form
    822,154/1,793,320 = 1,793,320/x
  3. Step 3: Cross multiply
    822,154x = 1,793,320 × 1,793,320
  4. Step 4: Simplify right side
    822,154x = 3,215,996,622,400
  5. Step 5: Solve for x
    x = 3,215,996,622,400/822,154
  6. Step 6: Final answer
    x = 3,911,671.81

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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.