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Finding the Third Proportional to 517,866 and 794,910

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Solution

The third proportional to 517,866 and 794,910 is: 1,220,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,866 : 794,910 = 794,910 : x
  2. Step 2: Convert to fraction form
    517,866/794,910 = 794,910/x
  3. Step 3: Cross multiply
    517,866x = 794,910 × 794,910
  4. Step 4: Simplify right side
    517,866x = 631,881,908,100
  5. Step 5: Solve for x
    x = 631,881,908,100/517,866
  6. Step 6: Final answer
    x = 1,220,164.88

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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.