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Finding the Third Proportional to 412,152 and 868,584

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Solution

The third proportional to 412,152 and 868,584 is: 1,830,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,152 : 868,584 = 868,584 : x
  2. Step 2: Convert to fraction form
    412,152/868,584 = 868,584/x
  3. Step 3: Cross multiply
    412,152x = 868,584 × 868,584
  4. Step 4: Simplify right side
    412,152x = 754,438,165,056
  5. Step 5: Solve for x
    x = 754,438,165,056/412,152
  6. Step 6: Final answer
    x = 1,830,485.27

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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.