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Finding the Third Proportional to 486,741 and 1,045,446

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Solution

The third proportional to 486,741 and 1,045,446 is: 2,245,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,741 : 1,045,446 = 1,045,446 : x
  2. Step 2: Convert to fraction form
    486,741/1,045,446 = 1,045,446/x
  3. Step 3: Cross multiply
    486,741x = 1,045,446 × 1,045,446
  4. Step 4: Simplify right side
    486,741x = 1,092,957,338,916
  5. Step 5: Solve for x
    x = 1,092,957,338,916/486,741
  6. Step 6: Final answer
    x = 2,245,459.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.