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Finding the Third Proportional to 929,366 and 1,970,212

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Solution

The third proportional to 929,366 and 1,970,212 is: 4,176,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,366 : 1,970,212 = 1,970,212 : x
  2. Step 2: Convert to fraction form
    929,366/1,970,212 = 1,970,212/x
  3. Step 3: Cross multiply
    929,366x = 1,970,212 × 1,970,212
  4. Step 4: Simplify right side
    929,366x = 3,881,735,324,944
  5. Step 5: Solve for x
    x = 3,881,735,324,944/929,366
  6. Step 6: Final answer
    x = 4,176,756.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.