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Finding the Third Proportional to 468,688 and 1,105,936

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Solution

The third proportional to 468,688 and 1,105,936 is: 2,609,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,688 : 1,105,936 = 1,105,936 : x
  2. Step 2: Convert to fraction form
    468,688/1,105,936 = 1,105,936/x
  3. Step 3: Cross multiply
    468,688x = 1,105,936 × 1,105,936
  4. Step 4: Simplify right side
    468,688x = 1,223,094,436,096
  5. Step 5: Solve for x
    x = 1,223,094,436,096/468,688
  6. Step 6: Final answer
    x = 2,609,613.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.