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Finding the Third Proportional to 2,041,225 and 4,394,461

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Solution

The third proportional to 2,041,225 and 4,394,461 is: 9,460,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041,225 : 4,394,461 = 4,394,461 : x
  2. Step 2: Convert to fraction form
    2,041,225/4,394,461 = 4,394,461/x
  3. Step 3: Cross multiply
    2,041,225x = 4,394,461 × 4,394,461
  4. Step 4: Simplify right side
    2,041,225x = 19,311,287,480,521
  5. Step 5: Solve for x
    x = 19,311,287,480,521/2,041,225
  6. Step 6: Final answer
    x = 9,460,636.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.