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Finding the Third Proportional to 1,966,914 and 2,964,222

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Solution

The third proportional to 1,966,914 and 2,964,222 is: 4,467,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,914 : 2,964,222 = 2,964,222 : x
  2. Step 2: Convert to fraction form
    1,966,914/2,964,222 = 2,964,222/x
  3. Step 3: Cross multiply
    1,966,914x = 2,964,222 × 2,964,222
  4. Step 4: Simplify right side
    1,966,914x = 8,786,612,065,284
  5. Step 5: Solve for x
    x = 8,786,612,065,284/1,966,914
  6. Step 6: Final answer
    x = 4,467,207.04

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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.