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Finding the Third Proportional to 822,456 and 1,290,485

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Solution

The third proportional to 822,456 and 1,290,485 is: 2,024,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,456 : 1,290,485 = 1,290,485 : x
  2. Step 2: Convert to fraction form
    822,456/1,290,485 = 1,290,485/x
  3. Step 3: Cross multiply
    822,456x = 1,290,485 × 1,290,485
  4. Step 4: Simplify right side
    822,456x = 1,665,351,535,225
  5. Step 5: Solve for x
    x = 1,665,351,535,225/822,456
  6. Step 6: Final answer
    x = 2,024,851.83

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.