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Finding the Third Proportional to 551,798 and 843,741

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Solution

The third proportional to 551,798 and 843,741 is: 1,290,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,798 : 843,741 = 843,741 : x
  2. Step 2: Convert to fraction form
    551,798/843,741 = 843,741/x
  3. Step 3: Cross multiply
    551,798x = 843,741 × 843,741
  4. Step 4: Simplify right side
    551,798x = 711,898,875,081
  5. Step 5: Solve for x
    x = 711,898,875,081/551,798
  6. Step 6: Final answer
    x = 1,290,143.99

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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.