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Finding the Third Proportional to 832,224 and 1,790,847

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Solution

The third proportional to 832,224 and 1,790,847 is: 3,853,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,224 : 1,790,847 = 1,790,847 : x
  2. Step 2: Convert to fraction form
    832,224/1,790,847 = 1,790,847/x
  3. Step 3: Cross multiply
    832,224x = 1,790,847 × 1,790,847
  4. Step 4: Simplify right side
    832,224x = 3,207,132,977,409
  5. Step 5: Solve for x
    x = 3,207,132,977,409/832,224
  6. Step 6: Final answer
    x = 3,853,689.60

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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.