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Finding the Third Proportional to 461,706 and 989,103

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Solution

The third proportional to 461,706 and 989,103 is: 2,118,934.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,706 : 989,103 = 989,103 : x
  2. Step 2: Convert to fraction form
    461,706/989,103 = 989,103/x
  3. Step 3: Cross multiply
    461,706x = 989,103 × 989,103
  4. Step 4: Simplify right side
    461,706x = 978,324,744,609
  5. Step 5: Solve for x
    x = 978,324,744,609/461,706
  6. Step 6: Final answer
    x = 2,118,934.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.