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Finding the Third Proportional to 412,884 and 875,385

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Solution

The third proportional to 412,884 and 875,385 is: 1,855,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,884 : 875,385 = 875,385 : x
  2. Step 2: Convert to fraction form
    412,884/875,385 = 875,385/x
  3. Step 3: Cross multiply
    412,884x = 875,385 × 875,385
  4. Step 4: Simplify right side
    412,884x = 766,298,898,225
  5. Step 5: Solve for x
    x = 766,298,898,225/412,884
  6. Step 6: Final answer
    x = 1,855,966.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.