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Finding the Third Proportional to 2,021,769 and 4,447,890

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Solution

The third proportional to 2,021,769 and 4,447,890 is: 9,785,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,769 : 4,447,890 = 4,447,890 : x
  2. Step 2: Convert to fraction form
    2,021,769/4,447,890 = 4,447,890/x
  3. Step 3: Cross multiply
    2,021,769x = 4,447,890 × 4,447,890
  4. Step 4: Simplify right side
    2,021,769x = 19,783,725,452,100
  5. Step 5: Solve for x
    x = 19,783,725,452,100/2,021,769
  6. Step 6: Final answer
    x = 9,785,354.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.