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Finding the Third Proportional to 411,672 and 901,103

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Solution

The third proportional to 411,672 and 901,103 is: 1,972,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,672 : 901,103 = 901,103 : x
  2. Step 2: Convert to fraction form
    411,672/901,103 = 901,103/x
  3. Step 3: Cross multiply
    411,672x = 901,103 × 901,103
  4. Step 4: Simplify right side
    411,672x = 811,986,616,609
  5. Step 5: Solve for x
    x = 811,986,616,609/411,672
  6. Step 6: Final answer
    x = 1,972,411.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.