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Finding the Third Proportional to 820,368 and 1,241,886

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Solution

The third proportional to 820,368 and 1,241,886 is: 1,879,986.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,368 : 1,241,886 = 1,241,886 : x
  2. Step 2: Convert to fraction form
    820,368/1,241,886 = 1,241,886/x
  3. Step 3: Cross multiply
    820,368x = 1,241,886 × 1,241,886
  4. Step 4: Simplify right side
    820,368x = 1,542,280,836,996
  5. Step 5: Solve for x
    x = 1,542,280,836,996/820,368
  6. Step 6: Final answer
    x = 1,879,986.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.