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Finding the Third Proportional to 559,466 and 843,843

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Solution

The third proportional to 559,466 and 843,843 is: 1,272,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,466 : 843,843 = 843,843 : x
  2. Step 2: Convert to fraction form
    559,466/843,843 = 843,843/x
  3. Step 3: Cross multiply
    559,466x = 843,843 × 843,843
  4. Step 4: Simplify right side
    559,466x = 712,071,008,649
  5. Step 5: Solve for x
    x = 712,071,008,649/559,466
  6. Step 6: Final answer
    x = 1,272,769.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.