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Finding the Third Proportional to 377,421 and 824,826

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Solution

The third proportional to 377,421 and 824,826 is: 1,802,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,421 : 824,826 = 824,826 : x
  2. Step 2: Convert to fraction form
    377,421/824,826 = 824,826/x
  3. Step 3: Cross multiply
    377,421x = 824,826 × 824,826
  4. Step 4: Simplify right side
    377,421x = 680,337,930,276
  5. Step 5: Solve for x
    x = 680,337,930,276/377,421
  6. Step 6: Final answer
    x = 1,802,596.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.