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Finding the Third Proportional to 2,021,960 and 4,328,230

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Solution

The third proportional to 2,021,960 and 4,328,230 is: 9,265,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,960 : 4,328,230 = 4,328,230 : x
  2. Step 2: Convert to fraction form
    2,021,960/4,328,230 = 4,328,230/x
  3. Step 3: Cross multiply
    2,021,960x = 4,328,230 × 4,328,230
  4. Step 4: Simplify right side
    2,021,960x = 18,733,574,932,900
  5. Step 5: Solve for x
    x = 18,733,574,932,900/2,021,960
  6. Step 6: Final answer
    x = 9,265,057.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.