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Finding the Third Proportional to 412,337 and 875,218

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Solution

The third proportional to 412,337 and 875,218 is: 1,857,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,337 : 875,218 = 875,218 : x
  2. Step 2: Convert to fraction form
    412,337/875,218 = 875,218/x
  3. Step 3: Cross multiply
    412,337x = 875,218 × 875,218
  4. Step 4: Simplify right side
    412,337x = 766,006,547,524
  5. Step 5: Solve for x
    x = 766,006,547,524/412,337
  6. Step 6: Final answer
    x = 1,857,719.65

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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.