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Finding the Third Proportional to 832,518 and 1,794,690

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Solution

The third proportional to 832,518 and 1,794,690 is: 3,868,879.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,518 : 1,794,690 = 1,794,690 : x
  2. Step 2: Convert to fraction form
    832,518/1,794,690 = 1,794,690/x
  3. Step 3: Cross multiply
    832,518x = 1,794,690 × 1,794,690
  4. Step 4: Simplify right side
    832,518x = 3,220,912,196,100
  5. Step 5: Solve for x
    x = 3,220,912,196,100/832,518
  6. Step 6: Final answer
    x = 3,868,879.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.