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Finding the Third Proportional to 382,654 and 834,202

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Solution

The third proportional to 382,654 and 834,202 is: 1,818,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,654 : 834,202 = 834,202 : x
  2. Step 2: Convert to fraction form
    382,654/834,202 = 834,202/x
  3. Step 3: Cross multiply
    382,654x = 834,202 × 834,202
  4. Step 4: Simplify right side
    382,654x = 695,892,976,804
  5. Step 5: Solve for x
    x = 695,892,976,804/382,654
  6. Step 6: Final answer
    x = 1,818,595.85

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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.