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Finding the Third Proportional to 1,966,928 and 2,964,242

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Solution

The third proportional to 1,966,928 and 2,964,242 is: 4,467,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,928 : 2,964,242 = 2,964,242 : x
  2. Step 2: Convert to fraction form
    1,966,928/2,964,242 = 2,964,242/x
  3. Step 3: Cross multiply
    1,966,928x = 2,964,242 × 2,964,242
  4. Step 4: Simplify right side
    1,966,928x = 8,786,730,634,564
  5. Step 5: Solve for x
    x = 8,786,730,634,564/1,966,928
  6. Step 6: Final answer
    x = 4,467,235.52

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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.