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Finding the Third Proportional to 820,690 and 1,282,875

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Solution

The third proportional to 820,690 and 1,282,875 is: 2,005,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,690 : 1,282,875 = 1,282,875 : x
  2. Step 2: Convert to fraction form
    820,690/1,282,875 = 1,282,875/x
  3. Step 3: Cross multiply
    820,690x = 1,282,875 × 1,282,875
  4. Step 4: Simplify right side
    820,690x = 1,645,768,265,625
  5. Step 5: Solve for x
    x = 1,645,768,265,625/820,690
  6. Step 6: Final answer
    x = 2,005,347.04

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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.