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Finding the Third Proportional to 782,940 and 1,668,426

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Solution

The third proportional to 782,940 and 1,668,426 is: 3,555,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,940 : 1,668,426 = 1,668,426 : x
  2. Step 2: Convert to fraction form
    782,940/1,668,426 = 1,668,426/x
  3. Step 3: Cross multiply
    782,940x = 1,668,426 × 1,668,426
  4. Step 4: Simplify right side
    782,940x = 2,783,645,317,476
  5. Step 5: Solve for x
    x = 2,783,645,317,476/782,940
  6. Step 6: Final answer
    x = 3,555,375.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.