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Finding the Third Proportional to 820,676 and 1,282,854

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Solution

The third proportional to 820,676 and 1,282,854 is: 2,005,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,676 : 1,282,854 = 1,282,854 : x
  2. Step 2: Convert to fraction form
    820,676/1,282,854 = 1,282,854/x
  3. Step 3: Cross multiply
    820,676x = 1,282,854 × 1,282,854
  4. Step 4: Simplify right side
    820,676x = 1,645,714,385,316
  5. Step 5: Solve for x
    x = 1,645,714,385,316/820,676
  6. Step 6: Final answer
    x = 2,005,315.60

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.