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Finding the Third Proportional to 363,746 and 857,446

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Solution

The third proportional to 363,746 and 857,446 is: 2,021,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,746 : 857,446 = 857,446 : x
  2. Step 2: Convert to fraction form
    363,746/857,446 = 857,446/x
  3. Step 3: Cross multiply
    363,746x = 857,446 × 857,446
  4. Step 4: Simplify right side
    363,746x = 735,213,642,916
  5. Step 5: Solve for x
    x = 735,213,642,916/363,746
  6. Step 6: Final answer
    x = 2,021,228.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.