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Finding the Third Proportional to 411,600 and 901,905

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Solution

The third proportional to 411,600 and 901,905 is: 1,976,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,600 : 901,905 = 901,905 : x
  2. Step 2: Convert to fraction form
    411,600/901,905 = 901,905/x
  3. Step 3: Cross multiply
    411,600x = 901,905 × 901,905
  4. Step 4: Simplify right side
    411,600x = 813,432,629,025
  5. Step 5: Solve for x
    x = 813,432,629,025/411,600
  6. Step 6: Final answer
    x = 1,976,269.75

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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.