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Finding the Third Proportional to 551,820 and 843,765

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Solution

The third proportional to 551,820 and 843,765 is: 1,290,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,820 : 843,765 = 843,765 : x
  2. Step 2: Convert to fraction form
    551,820/843,765 = 843,765/x
  3. Step 3: Cross multiply
    551,820x = 843,765 × 843,765
  4. Step 4: Simplify right side
    551,820x = 711,939,375,225
  5. Step 5: Solve for x
    x = 711,939,375,225/551,820
  6. Step 6: Final answer
    x = 1,290,165.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.