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Finding the Third Proportional to 800,820 and 1,078,650

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Solution

The third proportional to 800,820 and 1,078,650 is: 1,452,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,820 : 1,078,650 = 1,078,650 : x
  2. Step 2: Convert to fraction form
    800,820/1,078,650 = 1,078,650/x
  3. Step 3: Cross multiply
    800,820x = 1,078,650 × 1,078,650
  4. Step 4: Simplify right side
    800,820x = 1,163,485,822,500
  5. Step 5: Solve for x
    x = 1,163,485,822,500/800,820
  6. Step 6: Final answer
    x = 1,452,868.09

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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.