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Finding the Third Proportional to 822,375 and 1,233,562

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Solution

The third proportional to 822,375 and 1,233,562 is: 1,850,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,375 : 1,233,562 = 1,233,562 : x
  2. Step 2: Convert to fraction form
    822,375/1,233,562 = 1,233,562/x
  3. Step 3: Cross multiply
    822,375x = 1,233,562 × 1,233,562
  4. Step 4: Simplify right side
    822,375x = 1,521,675,207,844
  5. Step 5: Solve for x
    x = 1,521,675,207,844/822,375
  6. Step 6: Final answer
    x = 1,850,342.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.