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Finding the Third Proportional to 800,826 and 1,078,659

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Solution

The third proportional to 800,826 and 1,078,659 is: 1,452,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,826 : 1,078,659 = 1,078,659 : x
  2. Step 2: Convert to fraction form
    800,826/1,078,659 = 1,078,659/x
  3. Step 3: Cross multiply
    800,826x = 1,078,659 × 1,078,659
  4. Step 4: Simplify right side
    800,826x = 1,163,505,238,281
  5. Step 5: Solve for x
    x = 1,163,505,238,281/800,826
  6. Step 6: Final answer
    x = 1,452,881.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.