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Finding the Third Proportional to 2,021,864 and 4,414,222

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Solution

The third proportional to 2,021,864 and 4,414,222 is: 9,637,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,864 : 4,414,222 = 4,414,222 : x
  2. Step 2: Convert to fraction form
    2,021,864/4,414,222 = 4,414,222/x
  3. Step 3: Cross multiply
    2,021,864x = 4,414,222 × 4,414,222
  4. Step 4: Simplify right side
    2,021,864x = 19,485,355,865,284
  5. Step 5: Solve for x
    x = 19,485,355,865,284/2,021,864
  6. Step 6: Final answer
    x = 9,637,322.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.