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Finding the Third Proportional to 412,176 and 868,629

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Solution

The third proportional to 412,176 and 868,629 is: 1,830,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,176 : 868,629 = 868,629 : x
  2. Step 2: Convert to fraction form
    412,176/868,629 = 868,629/x
  3. Step 3: Cross multiply
    412,176x = 868,629 × 868,629
  4. Step 4: Simplify right side
    412,176x = 754,516,339,641
  5. Step 5: Solve for x
    x = 754,516,339,641/412,176
  6. Step 6: Final answer
    x = 1,830,568.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.