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Finding the Third Proportional to 2,021,684 and 4,397,664

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Solution

The third proportional to 2,021,684 and 4,397,664 is: 9,566,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,684 : 4,397,664 = 4,397,664 : x
  2. Step 2: Convert to fraction form
    2,021,684/4,397,664 = 4,397,664/x
  3. Step 3: Cross multiply
    2,021,684x = 4,397,664 × 4,397,664
  4. Step 4: Simplify right side
    2,021,684x = 19,339,448,656,896
  5. Step 5: Solve for x
    x = 19,339,448,656,896/2,021,684
  6. Step 6: Final answer
    x = 9,566,009.65

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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.