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Finding the Third Proportional to 2,001,830 and 4,145,616

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Solution

The third proportional to 2,001,830 and 4,145,616 is: 8,585,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,830 : 4,145,616 = 4,145,616 : x
  2. Step 2: Convert to fraction form
    2,001,830/4,145,616 = 4,145,616/x
  3. Step 3: Cross multiply
    2,001,830x = 4,145,616 × 4,145,616
  4. Step 4: Simplify right side
    2,001,830x = 17,186,132,019,456
  5. Step 5: Solve for x
    x = 17,186,132,019,456/2,001,830
  6. Step 6: Final answer
    x = 8,585,210.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.