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Finding the Third Proportional to 600,030 and 844,020

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Solution

The third proportional to 600,030 and 844,020 is: 1,187,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,030 : 844,020 = 844,020 : x
  2. Step 2: Convert to fraction form
    600,030/844,020 = 844,020/x
  3. Step 3: Cross multiply
    600,030x = 844,020 × 844,020
  4. Step 4: Simplify right side
    600,030x = 712,369,760,400
  5. Step 5: Solve for x
    x = 712,369,760,400/600,030
  6. Step 6: Final answer
    x = 1,187,223.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.