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Finding the Third Proportional to 601,866 and 884,343

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Solution

The third proportional to 601,866 and 884,343 is: 1,299,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,866 : 884,343 = 884,343 : x
  2. Step 2: Convert to fraction form
    601,866/884,343 = 884,343/x
  3. Step 3: Cross multiply
    601,866x = 884,343 × 884,343
  4. Step 4: Simplify right side
    601,866x = 782,062,541,649
  5. Step 5: Solve for x
    x = 782,062,541,649/601,866
  6. Step 6: Final answer
    x = 1,299,396.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.