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Finding the Third Proportional to 604,044 and 844,942

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Solution

The third proportional to 604,044 and 844,942 is: 1,181,912.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,044 : 844,942 = 844,942 : x
  2. Step 2: Convert to fraction form
    604,044/844,942 = 844,942/x
  3. Step 3: Cross multiply
    604,044x = 844,942 × 844,942
  4. Step 4: Simplify right side
    604,044x = 713,926,983,364
  5. Step 5: Solve for x
    x = 713,926,983,364/604,044
  6. Step 6: Final answer
    x = 1,181,912.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.