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Finding the Third Proportional to 3,194,340 and 4,824,780

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Solution

The third proportional to 3,194,340 and 4,824,780 is: 7,287,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,340 : 4,824,780 = 4,824,780 : x
  2. Step 2: Convert to fraction form
    3,194,340/4,824,780 = 4,824,780/x
  3. Step 3: Cross multiply
    3,194,340x = 4,824,780 × 4,824,780
  4. Step 4: Simplify right side
    3,194,340x = 23,278,502,048,400
  5. Step 5: Solve for x
    x = 23,278,502,048,400/3,194,340
  6. Step 6: Final answer
    x = 7,287,421.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.