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Finding the Third Proportional to 820,884 and 1,187,820

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Solution

The third proportional to 820,884 and 1,187,820 is: 1,718,776.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,884 : 1,187,820 = 1,187,820 : x
  2. Step 2: Convert to fraction form
    820,884/1,187,820 = 1,187,820/x
  3. Step 3: Cross multiply
    820,884x = 1,187,820 × 1,187,820
  4. Step 4: Simplify right side
    820,884x = 1,410,916,352,400
  5. Step 5: Solve for x
    x = 1,410,916,352,400/820,884
  6. Step 6: Final answer
    x = 1,718,776.77

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.