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Finding the Third Proportional to 829,386 and 1,806,273

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Solution

The third proportional to 829,386 and 1,806,273 is: 3,933,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,386 : 1,806,273 = 1,806,273 : x
  2. Step 2: Convert to fraction form
    829,386/1,806,273 = 1,806,273/x
  3. Step 3: Cross multiply
    829,386x = 1,806,273 × 1,806,273
  4. Step 4: Simplify right side
    829,386x = 3,262,622,150,529
  5. Step 5: Solve for x
    x = 3,262,622,150,529/829,386
  6. Step 6: Final answer
    x = 3,933,780.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.