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Finding the Third Proportional to 551,972 and 822,126

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Solution

The third proportional to 551,972 and 822,126 is: 1,224,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,972 : 822,126 = 822,126 : x
  2. Step 2: Convert to fraction form
    551,972/822,126 = 822,126/x
  3. Step 3: Cross multiply
    551,972x = 822,126 × 822,126
  4. Step 4: Simplify right side
    551,972x = 675,891,159,876
  5. Step 5: Solve for x
    x = 675,891,159,876/551,972
  6. Step 6: Final answer
    x = 1,224,502.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.