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Finding the Third Proportional to 846,825 and 1,816,446

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Solution

The third proportional to 846,825 and 1,816,446 is: 3,896,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,825 : 1,816,446 = 1,816,446 : x
  2. Step 2: Convert to fraction form
    846,825/1,816,446 = 1,816,446/x
  3. Step 3: Cross multiply
    846,825x = 1,816,446 × 1,816,446
  4. Step 4: Simplify right side
    846,825x = 3,299,476,070,916
  5. Step 5: Solve for x
    x = 3,299,476,070,916/846,825
  6. Step 6: Final answer
    x = 3,896,290.34

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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.