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Finding the Third Proportional to 851,496 and 1,280,796

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Solution

The third proportional to 851,496 and 1,280,796 is: 1,926,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,496 : 1,280,796 = 1,280,796 : x
  2. Step 2: Convert to fraction form
    851,496/1,280,796 = 1,280,796/x
  3. Step 3: Cross multiply
    851,496x = 1,280,796 × 1,280,796
  4. Step 4: Simplify right side
    851,496x = 1,640,438,393,616
  5. Step 5: Solve for x
    x = 1,640,438,393,616/851,496
  6. Step 6: Final answer
    x = 1,926,536.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.