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Finding the Third Proportional to 2,021,724 and 4,397,666

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Solution

The third proportional to 2,021,724 and 4,397,666 is: 9,565,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,724 : 4,397,666 = 4,397,666 : x
  2. Step 2: Convert to fraction form
    2,021,724/4,397,666 = 4,397,666/x
  3. Step 3: Cross multiply
    2,021,724x = 4,397,666 × 4,397,666
  4. Step 4: Simplify right side
    2,021,724x = 19,339,466,247,556
  5. Step 5: Solve for x
    x = 19,339,466,247,556/2,021,724
  6. Step 6: Final answer
    x = 9,565,829.09

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